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Simplifying x(x + -1) = x(2 + -1x) Reorder the terms: x(-1 + x) = x(2 + -1x) (-1 * x + x * x) = x(2 + -1x) (-1x + x2) = x(2 + -1x) -1x + x2 = (2 * x + -1x * x) -1x + x2 = (2x + -1x2) Solving -1x + x2 = 2x + -1x2 Solving for variable 'x'. Reorder the terms: -1x + -2x + x2 + x2 = 2x + -1x2 + -2x + x2 Combine like terms: -1x + -2x = -3x -3x + x2 + x2 = 2x + -1x2 + -2x + x2 Combine like terms: x2 + x2 = 2x2 -3x + 2x2 = 2x + -1x2 + -2x + x2 Reorder the terms: -3x + 2x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -3x + 2x2 = 0 + -1x2 + x2 -3x + 2x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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