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