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Simplifying x(x + 5)(x + -1) = 0 Reorder the terms: x(5 + x)(x + -1) = 0 Reorder the terms: x(5 + x)(-1 + x) = 0 Multiply (5 + x) * (-1 + x) x(5(-1 + x) + x(-1 + x)) = 0 x((-1 * 5 + x * 5) + x(-1 + x)) = 0 x((-5 + 5x) + x(-1 + x)) = 0 x(-5 + 5x + (-1 * x + x * x)) = 0 x(-5 + 5x + (-1x + x2)) = 0 Combine like terms: 5x + -1x = 4x x(-5 + 4x + x2) = 0 (-5 * x + 4x * x + x2 * x) = 0 (-5x + 4x2 + x3) = 0 Solving -5x + 4x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 4x + x2) = 0 Factor a trinomial. x((-5 + -1x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -5, 1}
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