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