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Simplifying 4x3 = -12x2 + -8x Reorder the terms: 4x3 = -8x + -12x2 Solving 4x3 = -8x + -12x2 Solving for variable 'x'. Reorder the terms: 8x + 12x2 + 4x3 = -8x + -12x2 + 8x + 12x2 Reorder the terms: 8x + 12x2 + 4x3 = -8x + 8x + -12x2 + 12x2 Combine like terms: -8x + 8x = 0 8x + 12x2 + 4x3 = 0 + -12x2 + 12x2 8x + 12x2 + 4x3 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 8x + 12x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + 3x + x2) = 0 Factor a trinomial. 4x((2 + x)(1 + x)) = 0 Ignore the factor 4.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -2, -1}
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