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Simplifying (4x + -8)(8x + 4) = 0 Reorder the terms: (-8 + 4x)(8x + 4) = 0 Reorder the terms: (-8 + 4x)(4 + 8x) = 0 Multiply (-8 + 4x) * (4 + 8x) (-8(4 + 8x) + 4x * (4 + 8x)) = 0 ((4 * -8 + 8x * -8) + 4x * (4 + 8x)) = 0 ((-32 + -64x) + 4x * (4 + 8x)) = 0 (-32 + -64x + (4 * 4x + 8x * 4x)) = 0 (-32 + -64x + (16x + 32x2)) = 0 Combine like terms: -64x + 16x = -48x (-32 + -48x + 32x2) = 0 Solving -32 + -48x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(-2 + -3x + 2x2) = 0 Factor a trinomial. 16((-1 + -2x)(2 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 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 = {-0.5, 2}
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