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Simplifying (2 + -1x)(1 + -2x + x2 + -1) = 0 Reorder the terms: (2 + -1x)(1 + -1 + -2x + x2) = 0 Combine like terms: 1 + -1 = 0 (2 + -1x)(0 + -2x + x2) = 0 (2 + -1x)(-2x + x2) = 0 Multiply (2 + -1x) * (-2x + x2) (2(-2x + x2) + -1x * (-2x + x2)) = 0 ((-2x * 2 + x2 * 2) + -1x * (-2x + x2)) = 0 ((-4x + 2x2) + -1x * (-2x + x2)) = 0 (-4x + 2x2 + (-2x * -1x + x2 * -1x)) = 0 (-4x + 2x2 + (2x2 + -1x3)) = 0 Combine like terms: 2x2 + 2x2 = 4x2 (-4x + 4x2 + -1x3) = 0 Solving -4x + 4x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 4x + -1x2) = 0 Factor a trinomial. x((-2 + x)(2 + -1x)) = 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 '(-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 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2, 2}
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