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Simplifying (x)(x + -4)(x + -13) = 0 Reorder the terms: x(-4 + x)(x + -13) = 0 Reorder the terms: x(-4 + x)(-13 + x) = 0 Multiply (-4 + x) * (-13 + x) x(-4(-13 + x) + x(-13 + x)) = 0 x((-13 * -4 + x * -4) + x(-13 + x)) = 0 x((52 + -4x) + x(-13 + x)) = 0 x(52 + -4x + (-13 * x + x * x)) = 0 x(52 + -4x + (-13x + x2)) = 0 Combine like terms: -4x + -13x = -17x x(52 + -17x + x2) = 0 (52 * x + -17x * x + x2 * x) = 0 (52x + -17x2 + x3) = 0 Solving 52x + -17x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(52 + -17x + x2) = 0 Factor a trinomial. x((4 + -1x)(13 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 3
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {0, 4, 13}
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