8(x-8)(x+7)=0

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Solution for 8(x-8)(x+7)=0 equation:


Simplifying
8(x + -8)(x + 7) = 0

Reorder the terms:
8(-8 + x)(x + 7) = 0

Reorder the terms:
8(-8 + x)(7 + x) = 0

Multiply (-8 + x) * (7 + x)
8(-8(7 + x) + x(7 + x)) = 0
8((7 * -8 + x * -8) + x(7 + x)) = 0
8((-56 + -8x) + x(7 + x)) = 0
8(-56 + -8x + (7 * x + x * x)) = 0
8(-56 + -8x + (7x + x2)) = 0

Combine like terms: -8x + 7x = -1x
8(-56 + -1x + x2) = 0
(-56 * 8 + -1x * 8 + x2 * 8) = 0
(-448 + -8x + 8x2) = 0

Solving
-448 + -8x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-56 + -1x + x2) = 0

Factor a trinomial.
8((-7 + -1x)(8 + -1x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-7, 8}

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