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Simplifying x(x + -8)(x + -8) = 0 Reorder the terms: x(-8 + x)(x + -8) = 0 Reorder the terms: x(-8 + x)(-8 + x) = 0 Multiply (-8 + x) * (-8 + x) x(-8(-8 + x) + x(-8 + x)) = 0 x((-8 * -8 + x * -8) + x(-8 + x)) = 0 x((64 + -8x) + x(-8 + x)) = 0 x(64 + -8x + (-8 * x + x * x)) = 0 x(64 + -8x + (-8x + x2)) = 0 Combine like terms: -8x + -8x = -16x x(64 + -16x + x2) = 0 (64 * x + -16x * x + x2 * x) = 0 (64x + -16x2 + x3) = 0 Solving 64x + -16x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(64 + -16x + x2) = 0 Factor a trinomial. x((8 + -1x)(8 + -1x)) = 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 '(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 = 8Subproblem 3
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 = 8Solution
x = {0, 8, 8}
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