Question
Simplify the expression
−4x2−4x−10
Evaluate
(x2−4x−12)−(5x2−2)
Remove the parentheses
x2−4x−12−(5x2−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−4x−12−5x2+2
Subtract the terms
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Evaluate
x2−5x2
Collect like terms by calculating the sum or difference of their coefficients
(1−5)x2
Subtract the numbers
−4x2
−4x2−4x−12+2
Solution
−4x2−4x−10
Show Solution

Factor the expression
−2(2x2+2x+5)
Evaluate
(x2−4x−12)−(5x2−2)
Remove the parentheses
x2−4x−12−(5x2−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−4x−12−5x2+2
Subtract the terms
More Steps

Evaluate
x2−5x2
Collect like terms by calculating the sum or difference of their coefficients
(1−5)x2
Subtract the numbers
−4x2
−4x2−4x−12+2
Add the numbers
−4x2−4x−10
Solution
−2(2x2+2x+5)
Show Solution

Find the roots
x1=−21−23i,x2=−21+23i
Alternative Form
x1=−0.5−1.5i,x2=−0.5+1.5i
Evaluate
(x2−4x−12)−(5x2−2)
To find the roots of the expression,set the expression equal to 0
(x2−4x−12)−(5x2−2)=0
Remove the parentheses
x2−4x−12−(5x2−2)=0
Subtract the terms
More Steps

Simplify
x2−4x−12−(5x2−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−4x−12−5x2+2
Subtract the terms
More Steps

Evaluate
x2−5x2
Collect like terms by calculating the sum or difference of their coefficients
(1−5)x2
Subtract the numbers
−4x2
−4x2−4x−12+2
Add the numbers
−4x2−4x−10
−4x2−4x−10=0
Multiply both sides
4x2+4x+10=0
Substitute a=4,b=4 and c=10 into the quadratic formula x=2a−b±b2−4ac
x=2×4−4±42−4×4×10
Simplify the expression
x=8−4±42−4×4×10
Simplify the expression
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Evaluate
42−4×4×10
Multiply the numbers
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Multiply the terms
4×4×10
Multiply the terms
16×10
Multiply the numbers
160
42−160
Evaluate the power
16−160
Subtract the numbers
−144
x=8−4±−144
Simplify the radical expression
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Evaluate
−144
Evaluate the power
144×−1
Evaluate the power
144×i
Evaluate the square root
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Evaluate
144
Write the number in exponential form with the base of 12
122
Reduce the index of the radical and exponent with 2
12
12i
x=8−4±12i
Separate the equation into 2 possible cases
x=8−4+12ix=8−4−12i
Simplify the expression
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Evaluate
x=8−4+12i
Divide the terms
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Evaluate
8−4+12i
Rewrite the expression
84(−1+3i)
Cancel out the common factor 4
2−1+3i
Use b−a=−ba=−ba to rewrite the fraction
−21−3i
Simplify
−21+23i
x=−21+23i
x=−21+23ix=8−4−12i
Simplify the expression
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Evaluate
x=8−4−12i
Divide the terms
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Evaluate
8−4−12i
Rewrite the expression
84(−1−3i)
Cancel out the common factor 4
2−1−3i
Use b−a=−ba=−ba to rewrite the fraction
−21+3i
Simplify
−21−23i
x=−21−23i
x=−21+23ix=−21−23i
Solution
x1=−21−23i,x2=−21+23i
Alternative Form
x1=−0.5−1.5i,x2=−0.5+1.5i
Show Solution
