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Simplifying x3 + -3 = 2x2 + 24x + -3 Reorder the terms: -3 + x3 = 2x2 + 24x + -3 Reorder the terms: -3 + x3 = -3 + 24x + 2x2 Add '3' to each side of the equation. -3 + 3 + x3 = -3 + 24x + 3 + 2x2 Combine like terms: -3 + 3 = 0 0 + x3 = -3 + 24x + 3 + 2x2 x3 = -3 + 24x + 3 + 2x2 Reorder the terms: x3 = -3 + 3 + 24x + 2x2 Combine like terms: -3 + 3 = 0 x3 = 0 + 24x + 2x2 x3 = 24x + 2x2 Solving x3 = 24x + 2x2 Solving for variable 'x'. Reorder the terms: -24x + -2x2 + x3 = 24x + 2x2 + -24x + -2x2 Reorder the terms: -24x + -2x2 + x3 = 24x + -24x + 2x2 + -2x2 Combine like terms: 24x + -24x = 0 -24x + -2x2 + x3 = 0 + 2x2 + -2x2 -24x + -2x2 + x3 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -24x + -2x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + -2x + x2) = 0 Factor a trinomial. x((-4 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, -4, 6}
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