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Simplifying (8x + -2)(x + 1) = 0 Reorder the terms: (-2 + 8x)(x + 1) = 0 Reorder the terms: (-2 + 8x)(1 + x) = 0 Multiply (-2 + 8x) * (1 + x) (-2(1 + x) + 8x * (1 + x)) = 0 ((1 * -2 + x * -2) + 8x * (1 + x)) = 0 ((-2 + -2x) + 8x * (1 + x)) = 0 (-2 + -2x + (1 * 8x + x * 8x)) = 0 (-2 + -2x + (8x + 8x2)) = 0 Combine like terms: -2x + 8x = 6x (-2 + 6x + 8x2) = 0 Solving -2 + 6x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 3x + 4x2) = 0 Factor a trinomial. 2((-1 + -1x)(1 + -4x)) = 0 Ignore the factor 2.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 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-1, 0.25}
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