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Simplifying (2x + -2)(8x + -8) = 0 Reorder the terms: (-2 + 2x)(8x + -8) = 0 Reorder the terms: (-2 + 2x)(-8 + 8x) = 0 Multiply (-2 + 2x) * (-8 + 8x) (-2(-8 + 8x) + 2x * (-8 + 8x)) = 0 ((-8 * -2 + 8x * -2) + 2x * (-8 + 8x)) = 0 ((16 + -16x) + 2x * (-8 + 8x)) = 0 (16 + -16x + (-8 * 2x + 8x * 2x)) = 0 (16 + -16x + (-16x + 16x2)) = 0 Combine like terms: -16x + -16x = -32x (16 + -32x + 16x2) = 0 Solving 16 + -32x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(1 + -2x + x2) = 0 Factor a trinomial. 16((1 + -1x)(1 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {1, 1}
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