Question
Simplify the expression
−7285x
Evaluate
x×7−(8×3x)×617−(5×8x)
Remove the parentheses
x×7−8×3x×617−(5×8x)
Multiply the terms
x×7−8×3x×617−85x
Use the commutative property to reorder the terms
7x−8×3x×617−85x
Multiply
More Steps

Multiply the terms
−8×3x×617
Multiply the terms
More Steps

Evaluate
8×617
Reduce the numbers
4×317
Multiply the numbers
34×17
Multiply the numbers
368
−368×3x
Multiply the terms
More Steps

Multiply the terms
368×3x
Multiply the terms
3×368x
Multiply the terms
968x
−968x
7x−968x−85x
Reduce fractions to a common denominator
9×87x×9×8−9×868x×8−8×95x×9
Multiply the numbers
727x×9×8−9×868x×8−8×95x×9
Multiply the numbers
727x×9×8−7268x×8−8×95x×9
Multiply the numbers
727x×9×8−7268x×8−725x×9
Write all numerators above the common denominator
727x×9×8−68x×8−5x×9
Multiply the terms
More Steps

Evaluate
7x×9×8
Multiply the terms
63x×8
Multiply the terms
504x
72504x−68x×8−5x×9
Multiply the terms
72504x−544x−5x×9
Multiply the terms
72504x−544x−45x
Subtract the terms
More Steps

Evaluate
504x−544x−45x
Collect like terms by calculating the sum or difference of their coefficients
(504−544−45)x
Subtract the numbers
−85x
72−85x
Solution
−7285x
Show Solution

Find the roots
x=0
Evaluate
x×7−(8×3x)×617−(5×8x)
To find the roots of the expression,set the expression equal to 0
x×7−(8×3x)×617−(5×8x)=0
Multiply the terms
x×7−38x×617−(5×8x)=0
Multiply the terms
x×7−38x×617−85x=0
Use the commutative property to reorder the terms
7x−38x×617−85x=0
Multiply the terms
More Steps

Evaluate
38x×617
Cancel out the common factor 2
34x×317
Multiply the terms
3×34x×17
Multiply the terms
3×368x
Multiply the terms
968x
7x−968x−85x=0
Subtract the terms
More Steps

Simplify
7x−968x
Reduce fractions to a common denominator
97x×9−968x
Write all numerators above the common denominator
97x×9−68x
Multiply the terms
963x−68x
Subtract the terms
More Steps

Evaluate
63x−68x
Collect like terms by calculating the sum or difference of their coefficients
(63−68)x
Subtract the numbers
−5x
9−5x
Use b−a=−ba=−ba to rewrite the fraction
−95x
−95x−85x=0
Subtract the terms
More Steps

Simplify
−95x−85x
Reduce fractions to a common denominator
−9×85x×8−8×95x×9
Multiply the numbers
−725x×8−8×95x×9
Multiply the numbers
−725x×8−725x×9
Write all numerators above the common denominator
72−5x×8−5x×9
Multiply the terms
72−40x−5x×9
Multiply the terms
72−40x−45x
Subtract the terms
More Steps

Evaluate
−40x−45x
Collect like terms by calculating the sum or difference of their coefficients
(−40−45)x
Subtract the numbers
−85x
72−85x
Use b−a=−ba=−ba to rewrite the fraction
−7285x
−7285x=0
Simplify
−85x=0
Change the signs on both sides of the equation
85x=0
Solution
x=0
Show Solution
