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Simplifying 4x2 = -12 + -16x Solving 4x2 = -12 + -16x Solving for variable 'x'. Reorder the terms: 12 + 16x + 4x2 = -12 + -16x + 12 + 16x Reorder the terms: 12 + 16x + 4x2 = -12 + 12 + -16x + 16x Combine like terms: -12 + 12 = 0 12 + 16x + 4x2 = 0 + -16x + 16x 12 + 16x + 4x2 = -16x + 16x Combine like terms: -16x + 16x = 0 12 + 16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 4x + x2) = 0 Factor a trinomial. 4((3 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
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 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 = -1Solution
x = {-3, -1}
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