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Simplifying (x + -8)(x + -8) = 64 Reorder the terms: (-8 + x)(x + -8) = 64 Reorder the terms: (-8 + x)(-8 + x) = 64 Multiply (-8 + x) * (-8 + x) (-8(-8 + x) + x(-8 + x)) = 64 ((-8 * -8 + x * -8) + x(-8 + x)) = 64 ((64 + -8x) + x(-8 + x)) = 64 (64 + -8x + (-8 * x + x * x)) = 64 (64 + -8x + (-8x + x2)) = 64 Combine like terms: -8x + -8x = -16x (64 + -16x + x2) = 64 Add '-64' to each side of the equation. 64 + -16x + -64 + x2 = 64 + -64 Reorder the terms: 64 + -64 + -16x + x2 = 64 + -64 Combine like terms: 64 + -64 = 0 0 + -16x + x2 = 64 + -64 -16x + x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -16x + x2 = 0 Solving -16x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Solution
x = {0, 16}
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