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Simplifying x(x + -3)(x + 2) = 0 Reorder the terms: x(-3 + x)(x + 2) = 0 Reorder the terms: x(-3 + x)(2 + x) = 0 Multiply (-3 + x) * (2 + x) x(-3(2 + x) + x(2 + x)) = 0 x((2 * -3 + x * -3) + x(2 + x)) = 0 x((-6 + -3x) + x(2 + x)) = 0 x(-6 + -3x + (2 * x + x * x)) = 0 x(-6 + -3x + (2x + x2)) = 0 Combine like terms: -3x + 2x = -1x x(-6 + -1x + x2) = 0 (-6 * x + -1x * x + x2 * x) = 0 (-6x + -1x2 + x3) = 0 Solving -6x + -1x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + -1x + x2) = 0 Factor a trinomial. x((-2 + -1x)(3 + -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 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -2, 3}
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