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Simplifying (-6 + -2x)(-4x + 8) = 0 Reorder the terms: (-6 + -2x)(8 + -4x) = 0 Multiply (-6 + -2x) * (8 + -4x) (-6(8 + -4x) + -2x * (8 + -4x)) = 0 ((8 * -6 + -4x * -6) + -2x * (8 + -4x)) = 0 ((-48 + 24x) + -2x * (8 + -4x)) = 0 (-48 + 24x + (8 * -2x + -4x * -2x)) = 0 (-48 + 24x + (-16x + 8x2)) = 0 Combine like terms: 24x + -16x = 8x (-48 + 8x + 8x2) = 0 Solving -48 + 8x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-6 + x + x2) = 0 Factor a trinomial. 8((-3 + -1x)(2 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3, 2}
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