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Simplifying (4x + -4)(2x + -8) = 0 Reorder the terms: (-4 + 4x)(2x + -8) = 0 Reorder the terms: (-4 + 4x)(-8 + 2x) = 0 Multiply (-4 + 4x) * (-8 + 2x) (-4(-8 + 2x) + 4x * (-8 + 2x)) = 0 ((-8 * -4 + 2x * -4) + 4x * (-8 + 2x)) = 0 ((32 + -8x) + 4x * (-8 + 2x)) = 0 (32 + -8x + (-8 * 4x + 2x * 4x)) = 0 (32 + -8x + (-32x + 8x2)) = 0 Combine like terms: -8x + -32x = -40x (32 + -40x + 8x2) = 0 Solving 32 + -40x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(4 + -5x + x2) = 0 Factor a trinomial. 8((1 + -1x)(4 + -1x)) = 0 Ignore the factor 8.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1, 4}
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