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Simplifying x(x + -9)(x + 3) = 0 Reorder the terms: x(-9 + x)(x + 3) = 0 Reorder the terms: x(-9 + x)(3 + x) = 0 Multiply (-9 + x) * (3 + x) x(-9(3 + x) + x(3 + x)) = 0 x((3 * -9 + x * -9) + x(3 + x)) = 0 x((-27 + -9x) + x(3 + x)) = 0 x(-27 + -9x + (3 * x + x * x)) = 0 x(-27 + -9x + (3x + x2)) = 0 Combine like terms: -9x + 3x = -6x x(-27 + -6x + x2) = 0 (-27 * x + -6x * x + x2 * x) = 0 (-27x + -6x2 + x3) = 0 Solving -27x + -6x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-27 + -6x + x2) = 0 Factor a trinomial. x((-3 + -1x)(9 + -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 '(-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 = -3Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, -3, 9}
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