Question
Simplify the expression
Solution
−30236290+3I
Evaluate
80÷12−3899−26−I÷12−3958−I÷60
Divide the terms
More Steps

Evaluate
80÷12
Rewrite the expression
1280
Cancel out the common factor 4
320
320−3899−26−I÷12−3958−I÷60
Rewrite the expression
320−3899−26−12I−3958−I÷60
Rewrite the expression
320−3899−26−12I−3958−60I
Subtract the numbers
320−7883−12I−60I
Reduce fractions to a common denominator
3×4×520×4×5−3×4×57883×3×4×5−12×5I×5−60I
Multiply the terms
More Steps

Evaluate
3×4×5
Multiply the terms
12×5
Multiply the numbers
60
6020×4×5−3×4×57883×3×4×5−12×5I×5−60I
Multiply the terms
More Steps

Evaluate
3×4×5
Multiply the terms
12×5
Multiply the numbers
60
6020×4×5−607883×3×4×5−12×5I×5−60I
Multiply the numbers
6020×4×5−607883×3×4×5−60I×5−60I
Write all numerators above the common denominator
6020×4×5−7883×3×4×5−I×5−I
Multiply the terms
More Steps

Evaluate
20×4×5
Multiply the terms
80×5
Multiply the numbers
400
60400−7883×3×4×5−I×5−I
Multiply the terms
More Steps

Evaluate
7883×3×4×5
Multiply the terms
23649×4×5
Multiply the terms
94596×5
Multiply the numbers
472980
60400−472980−I×5−I
Use the commutative property to reorder the terms
60400−472980−5I−I
Subtract the terms
More Steps

Evaluate
400−472980−5I−I
Subtract the numbers
−472580−5I−I
Subtract the terms
More Steps

Evaluate
−5I−I
Collect like terms by calculating the sum or difference of their coefficients
(−5−1)I
Subtract the numbers
−6I
−472580−6I
60−472580−6I
Use b−a=−ba=−ba to rewrite the fraction
−60472580+6I
Factor
−602(236290+3I)
Solution
−30236290+3I
Show Solution
Find the roots
Find the roots of the algebra expression
I=−3236290
Alternative Form
I=−78763.3˙
Evaluate
80÷12−3899−26−I÷12−3958−I÷60
To find the roots of the expression,set the expression equal to 0
80÷12−3899−26−I÷12−3958−I÷60=0
Divide the terms
More Steps

Evaluate
80÷12
Rewrite the expression
1280
Cancel out the common factor 4
320
320−3899−26−I÷12−3958−I÷60=0
Subtract the numbers
More Steps

Simplify
320−3899
Reduce fractions to a common denominator
320−33899×3
Write all numerators above the common denominator
320−3899×3
Multiply the numbers
320−11697
Subtract the numbers
3−11677
Use b−a=−ba=−ba to rewrite the fraction
−311677
−311677−26−I÷12−3958−I÷60=0
Rewrite the expression
−311677−26−12I−3958−I÷60=0
Subtract the numbers
More Steps

Simplify
−311677−26
Reduce fractions to a common denominator
−311677−326×3
Write all numerators above the common denominator
3−11677−26×3
Multiply the numbers
3−11677−78
Subtract the numbers
3−11755
Use b−a=−ba=−ba to rewrite the fraction
−311755
−311755−12I−3958−I÷60=0
Subtract the terms
More Steps

Simplify
−311755−12I
Reduce fractions to a common denominator
−3×411755×4−12I
Multiply the numbers
−1211755×4−12I
Write all numerators above the common denominator
12−11755×4−I
Multiply the numbers
12−47020−I
Use b−a=−ba=−ba to rewrite the fraction
−1247020+I
−1247020+I−3958−I÷60=0
Rewrite the expression
−1247020+I−3958−60I=0
Subtract the terms
More Steps

Simplify
−1247020+I−3958
Reduce fractions to a common denominator
−1247020+I−123958×12
Write all numerators above the common denominator
12−(47020+I)−3958×12
Multiply the numbers
12−(47020+I)−47496
Subtract the terms
More Steps

Evaluate
−(47020+I)−47496
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−47020−I−47496
Subtract the numbers
−94516−I
12−94516−I
Use b−a=−ba=−ba to rewrite the fraction
−1294516+I
−1294516+I−60I=0
Subtract the terms
More Steps

Simplify
−1294516+I−60I
Reduce fractions to a common denominator
−12×5(94516+I)×5−60I
Multiply the numbers
−60(94516+I)×5−60I
Write all numerators above the common denominator
60−(94516+I)×5−I
Multiply the terms
More Steps

Evaluate
(94516+I)×5
Apply the distributive property
94516×5+I×5
Multiply the numbers
472580+I×5
Use the commutative property to reorder the terms
472580+5I
60−(472580+5I)−I
Subtract the terms
More Steps

Evaluate
−(472580+5I)−I
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−472580−5I−I
Subtract the terms
−472580−6I
60−472580−6I
Use b−a=−ba=−ba to rewrite the fraction
−60472580+6I
Factor
−602(236290+3I)
Reduce the fraction
−30236290+3I
−30236290+3I=0
Simplify
−236290−3I=0
Move the constant to the right side
−3I=0+236290
Removing 0 doesn't change the value,so remove it from the expression
−3I=236290
Change the signs on both sides of the equation
3I=−236290
Divide both sides
33I=3−236290
Divide the numbers
I=3−236290
Solution
I=−3236290
Alternative Form
I=−78763.3˙
Show Solution