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Simplifying x(x + -4)(x + 5) = 0 Reorder the terms: x(-4 + x)(x + 5) = 0 Reorder the terms: x(-4 + x)(5 + x) = 0 Multiply (-4 + x) * (5 + x) x(-4(5 + x) + x(5 + x)) = 0 x((5 * -4 + x * -4) + x(5 + x)) = 0 x((-20 + -4x) + x(5 + x)) = 0 x(-20 + -4x + (5 * x + x * x)) = 0 x(-20 + -4x + (5x + x2)) = 0 Combine like terms: -4x + 5x = 1x x(-20 + 1x + x2) = 0 (-20 * x + 1x * x + x2 * x) = 0 (-20x + 1x2 + x3) = 0 Solving -20x + 1x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + x + x2) = 0 Factor a trinomial. x((-5 + -1x)(4 + -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 '(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 = 4Solution
x = {0, -5, 4}
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