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Simplifying x(x + -6)(x + 5) = 0 Reorder the terms: x(-6 + x)(x + 5) = 0 Reorder the terms: x(-6 + x)(5 + x) = 0 Multiply (-6 + x) * (5 + x) x(-6(5 + x) + x(5 + x)) = 0 x((5 * -6 + x * -6) + x(5 + x)) = 0 x((-30 + -6x) + x(5 + x)) = 0 x(-30 + -6x + (5 * x + x * x)) = 0 x(-30 + -6x + (5x + x2)) = 0 Combine like terms: -6x + 5x = -1x x(-30 + -1x + x2) = 0 (-30 * x + -1x * x + x2 * x) = 0 (-30x + -1x2 + x3) = 0 Solving -30x + -1x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-30 + -1x + x2) = 0 Factor a trinomial. x((-5 + -1x)(6 + -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 '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, -5, 6}
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