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Simplifying x(x + -3)(x + 9) = 0 Reorder the terms: x(-3 + x)(x + 9) = 0 Reorder the terms: x(-3 + x)(9 + x) = 0 Multiply (-3 + x) * (9 + x) x(-3(9 + x) + x(9 + x)) = 0 x((9 * -3 + x * -3) + x(9 + x)) = 0 x((-27 + -3x) + x(9 + x)) = 0 x(-27 + -3x + (9 * x + x * x)) = 0 x(-27 + -3x + (9x + x2)) = 0 Combine like terms: -3x + 9x = 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((-9 + -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 '(-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 = -9Subproblem 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, -9, 3}
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