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Simplifying 0 = -2x3 + -10x2 + -12x Reorder the terms: 0 = -12x + -10x2 + -2x3 Solving 0 = -12x + -10x2 + -2x3 Solving for variable 'x'. Remove the zero: 12x + 10x2 + 2x3 = -12x + -10x2 + -2x3 + 12x + 10x2 + 2x3 Reorder the terms: 12x + 10x2 + 2x3 = -12x + 12x + -10x2 + 10x2 + -2x3 + 2x3 Combine like terms: -12x + 12x = 0 12x + 10x2 + 2x3 = 0 + -10x2 + 10x2 + -2x3 + 2x3 12x + 10x2 + 2x3 = -10x2 + 10x2 + -2x3 + 2x3 Combine like terms: -10x2 + 10x2 = 0 12x + 10x2 + 2x3 = 0 + -2x3 + 2x3 12x + 10x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 12x + 10x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + 5x + x2) = 0 Factor a trinomial. 2x((3 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -3, -2}
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