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Simplifying (2x + 1x)(1x + -1) = (1 + -1)(1x + -1) Combine like terms: 2x + 1x = 3x (3x)(1x + -1) = (1 + -1)(1x + -1) Remove parenthesis around (3x) 3x(1x + -1) = (1 + -1)(1x + -1) Reorder the terms: 3x(-1 + 1x) = (1 + -1)(1x + -1) (-1 * 3x + 1x * 3x) = (1 + -1)(1x + -1) (-3x + 3x2) = (1 + -1)(1x + -1) Combine like terms: 1 + -1 = 0 -3x + 3x2 = (0)(1x + -1) Reorder the terms: -3x + 3x2 = 0(-1 + 1x) Anything times zero is zero. -3x + 3x2 = 0(-1 + 1x) Solving -3x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + x) = 0 Ignore the factor 3.Subproblem 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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