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Simplifying (-2x2 + -3x + -12) + -1(3x3 + 4x2 + -12) = 0 Reorder the terms: (-12 + -3x + -2x2) + -1(3x3 + 4x2 + -12) = 0 Remove parenthesis around (-12 + -3x + -2x2) -12 + -3x + -2x2 + -1(3x3 + 4x2 + -12) = 0 Reorder the terms: -12 + -3x + -2x2 + -1(-12 + 4x2 + 3x3) = 0 -12 + -3x + -2x2 + (-12 * -1 + 4x2 * -1 + 3x3 * -1) = 0 -12 + -3x + -2x2 + (12 + -4x2 + -3x3) = 0 Reorder the terms: -12 + 12 + -3x + -2x2 + -4x2 + -3x3 = 0 Combine like terms: -12 + 12 = 0 0 + -3x + -2x2 + -4x2 + -3x3 = 0 -3x + -2x2 + -4x2 + -3x3 = 0 Combine like terms: -2x2 + -4x2 = -6x2 -3x + -6x2 + -3x3 = 0 Solving -3x + -6x2 + -3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x'. -3x(1 + 2x + x2) = 0 Factor a trinomial. -3x((1 + x)(1 + 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 '(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 = -1Subproblem 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, -1, -1}
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