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Simplifying 4x(x + -2) = 16x + -2 + -18x + -4 + 1 + 3 Reorder the terms: 4x(-2 + x) = 16x + -2 + -18x + -4 + 1 + 3 (-2 * 4x + x * 4x) = 16x + -2 + -18x + -4 + 1 + 3 (-8x + 4x2) = 16x + -2 + -18x + -4 + 1 + 3 Reorder the terms: -8x + 4x2 = -2 + -4 + 1 + 3 + 16x + -18x Combine like terms: -2 + -4 = -6 -8x + 4x2 = -6 + 1 + 3 + 16x + -18x Combine like terms: -6 + 1 = -5 -8x + 4x2 = -5 + 3 + 16x + -18x Combine like terms: -5 + 3 = -2 -8x + 4x2 = -2 + 16x + -18x Combine like terms: 16x + -18x = -2x -8x + 4x2 = -2 + -2x Solving -8x + 4x2 = -2 + -2x Solving for variable 'x'. Reorder the terms: 2 + -8x + 2x + 4x2 = -2 + -2x + 2 + 2x Combine like terms: -8x + 2x = -6x 2 + -6x + 4x2 = -2 + -2x + 2 + 2x Reorder the terms: 2 + -6x + 4x2 = -2 + 2 + -2x + 2x Combine like terms: -2 + 2 = 0 2 + -6x + 4x2 = 0 + -2x + 2x 2 + -6x + 4x2 = -2x + 2x Combine like terms: -2x + 2x = 0 2 + -6x + 4x2 = 0 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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