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Simplifying (8x + 8)(-1x + -1) = 0 Reorder the terms: (8 + 8x)(-1x + -1) = 0 Reorder the terms: (8 + 8x)(-1 + -1x) = 0 Multiply (8 + 8x) * (-1 + -1x) (8(-1 + -1x) + 8x * (-1 + -1x)) = 0 ((-1 * 8 + -1x * 8) + 8x * (-1 + -1x)) = 0 ((-8 + -8x) + 8x * (-1 + -1x)) = 0 (-8 + -8x + (-1 * 8x + -1x * 8x)) = 0 (-8 + -8x + (-8x + -8x2)) = 0 Combine like terms: -8x + -8x = -16x (-8 + -16x + -8x2) = 0 Solving -8 + -16x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-8'. -8(1 + 2x + x2) = 0 Factor a trinomial. -8((1 + x)(1 + x)) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1, -1}
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