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Simplifying -1x(x + 1)(x + -2) = 0 Reorder the terms: -1x(1 + x)(x + -2) = 0 Reorder the terms: -1x(1 + x)(-2 + x) = 0 Multiply (1 + x) * (-2 + x) -1x(1(-2 + x) + x(-2 + x)) = 0 -1x((-2 * 1 + x * 1) + x(-2 + x)) = 0 -1x((-2 + 1x) + x(-2 + x)) = 0 -1x(-2 + 1x + (-2 * x + x * x)) = 0 -1x(-2 + 1x + (-2x + x2)) = 0 Combine like terms: 1x + -2x = -1x -1x(-2 + -1x + x2) = 0 (-2 * -1x + -1x * -1x + x2 * -1x) = 0 (2x + 1x2 + -1x3) = 0 Solving 2x + 1x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + x + -1x2) = 0 Factor a trinomial. x((2 + -1x)(1 + x)) = 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 + -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 = 2Subproblem 3
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, 2, -1}
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