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Simplifying -1 = -3x3 + 12x + -1 Reorder the terms: -1 = -1 + 12x + -3x3 Add '1' to each side of the equation. -1 + 1 = -1 + 12x + 1 + -3x3 Combine like terms: -1 + 1 = 0 0 = -1 + 12x + 1 + -3x3 Reorder the terms: 0 = -1 + 1 + 12x + -3x3 Combine like terms: -1 + 1 = 0 0 = 0 + 12x + -3x3 0 = 12x + -3x3 Solving 0 = 12x + -3x3 Solving for variable 'x'. Remove the zero: -12x + 3x3 = 12x + -3x3 + -12x + 3x3 Reorder the terms: -12x + 3x3 = 12x + -12x + -3x3 + 3x3 Combine like terms: 12x + -12x = 0 -12x + 3x3 = 0 + -3x3 + 3x3 -12x + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -12x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + x2) = 0 Factor a difference between two squares. 3x((2 + x)(-2 + 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 '(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 = -2Subproblem 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, -2, 2}
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