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Simplifying (8x + -1)(4x + 4) = 0 Reorder the terms: (-1 + 8x)(4x + 4) = 0 Reorder the terms: (-1 + 8x)(4 + 4x) = 0 Multiply (-1 + 8x) * (4 + 4x) (-1(4 + 4x) + 8x * (4 + 4x)) = 0 ((4 * -1 + 4x * -1) + 8x * (4 + 4x)) = 0 ((-4 + -4x) + 8x * (4 + 4x)) = 0 (-4 + -4x + (4 * 8x + 4x * 8x)) = 0 (-4 + -4x + (32x + 32x2)) = 0 Combine like terms: -4x + 32x = 28x (-4 + 28x + 32x2) = 0 Solving -4 + 28x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 7x + 8x2) = 0 Factor a trinomial. 4((-1 + -1x)(1 + -8x)) = 0 Ignore the factor 4.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 '(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 = 0.125Solution
x = {-1, 0.125}
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