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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 + -1x + x2) = 0 Factor a trinomial. x((-4 + -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 '(-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 '(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, -4, 5}
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