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Simplifying (2x + -2)(2 + -1x) = 0 Reorder the terms: (-2 + 2x)(2 + -1x) = 0 Multiply (-2 + 2x) * (2 + -1x) (-2(2 + -1x) + 2x * (2 + -1x)) = 0 ((2 * -2 + -1x * -2) + 2x * (2 + -1x)) = 0 ((-4 + 2x) + 2x * (2 + -1x)) = 0 (-4 + 2x + (2 * 2x + -1x * 2x)) = 0 (-4 + 2x + (4x + -2x2)) = 0 Combine like terms: 2x + 4x = 6x (-4 + 6x + -2x2) = 0 Solving -4 + 6x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3x + -1x2) = 0 Factor a trinomial. 2((-2 + x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 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 = {2, 1}
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