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Simplifying (2x + -4)(8x + 1) = 0 Reorder the terms: (-4 + 2x)(8x + 1) = 0 Reorder the terms: (-4 + 2x)(1 + 8x) = 0 Multiply (-4 + 2x) * (1 + 8x) (-4(1 + 8x) + 2x * (1 + 8x)) = 0 ((1 * -4 + 8x * -4) + 2x * (1 + 8x)) = 0 ((-4 + -32x) + 2x * (1 + 8x)) = 0 (-4 + -32x + (1 * 2x + 8x * 2x)) = 0 (-4 + -32x + (2x + 16x2)) = 0 Combine like terms: -32x + 2x = -30x (-4 + -30x + 16x2) = 0 Solving -4 + -30x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -15x + 8x2) = 0 Factor a trinomial. 2((-1 + -8x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 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 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125Subproblem 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 = {-0.125, 2}
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