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Simplifying 0 = 3x3 + -3x2 + -36x Reorder the terms: 0 = -36x + -3x2 + 3x3 Solving 0 = -36x + -3x2 + 3x3 Solving for variable 'x'. Remove the zero: 36x + 3x2 + -3x3 = -36x + -3x2 + 3x3 + 36x + 3x2 + -3x3 Reorder the terms: 36x + 3x2 + -3x3 = -36x + 36x + -3x2 + 3x2 + 3x3 + -3x3 Combine like terms: -36x + 36x = 0 36x + 3x2 + -3x3 = 0 + -3x2 + 3x2 + 3x3 + -3x3 36x + 3x2 + -3x3 = -3x2 + 3x2 + 3x3 + -3x3 Combine like terms: -3x2 + 3x2 = 0 36x + 3x2 + -3x3 = 0 + 3x3 + -3x3 36x + 3x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 36x + 3x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(12 + x + -1x2) = 0 Factor a trinomial. 3x((4 + -1x)(3 + x)) = 0 Ignore the factor 3.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 '(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 '(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 = -3Solution
x = {0, 4, -3}
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