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Simplifying x(2x + -1)(x + 5) = 0 Reorder the terms: x(-1 + 2x)(x + 5) = 0 Reorder the terms: x(-1 + 2x)(5 + x) = 0 Multiply (-1 + 2x) * (5 + x) x(-1(5 + x) + 2x * (5 + x)) = 0 x((5 * -1 + x * -1) + 2x * (5 + x)) = 0 x((-5 + -1x) + 2x * (5 + x)) = 0 x(-5 + -1x + (5 * 2x + x * 2x)) = 0 x(-5 + -1x + (10x + 2x2)) = 0 Combine like terms: -1x + 10x = 9x x(-5 + 9x + 2x2) = 0 (-5 * x + 9x * x + 2x2 * x) = 0 (-5x + 9x2 + 2x3) = 0 Solving -5x + 9x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 9x + 2x2) = 0 Factor a trinomial. x((-5 + -1x)(1 + -2x)) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, -5, 0.5}
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