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Simplifying (8x2 + 8x)(-6x + -6) = 0 Reorder the terms: (8x + 8x2)(-6x + -6) = 0 Reorder the terms: (8x + 8x2)(-6 + -6x) = 0 Multiply (8x + 8x2) * (-6 + -6x) (8x * (-6 + -6x) + 8x2 * (-6 + -6x)) = 0 ((-6 * 8x + -6x * 8x) + 8x2 * (-6 + -6x)) = 0 ((-48x + -48x2) + 8x2 * (-6 + -6x)) = 0 (-48x + -48x2 + (-6 * 8x2 + -6x * 8x2)) = 0 (-48x + -48x2 + (-48x2 + -48x3)) = 0 Combine like terms: -48x2 + -48x2 = -96x2 (-48x + -96x2 + -48x3) = 0 Solving -48x + -96x2 + -48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-48x'. -48x(1 + 2x + x2) = 0 Factor a trinomial. -48x((1 + x)(1 + x)) = 0 Ignore the factor -48.Subproblem 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 '(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 3
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 = {0, -1, -1}
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