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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 + x + x2) = 0 Factor a trinomial. x((-6 + -1x)(5 + -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 '(-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 = -6Subproblem 3
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 = 5Solution
x = {0, -6, 5}
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