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Simplifying (4x + -2)(x + -1) = 0 Reorder the terms: (-2 + 4x)(x + -1) = 0 Reorder the terms: (-2 + 4x)(-1 + x) = 0 Multiply (-2 + 4x) * (-1 + x) (-2(-1 + x) + 4x * (-1 + x)) = 0 ((-1 * -2 + x * -2) + 4x * (-1 + x)) = 0 ((2 + -2x) + 4x * (-1 + x)) = 0 (2 + -2x + (-1 * 4x + x * 4x)) = 0 (2 + -2x + (-4x + 4x2)) = 0 Combine like terms: -2x + -4x = -6x (2 + -6x + 4x2) = 0 Solving 2 + -6x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -3x + 2x2) = 0 Factor a trinomial. 2((1 + -2x)(1 + -1x)) = 0 Ignore the factor 2.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 '(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 = 1Solution
x = {0.5, 1}
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