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Simplifying 4x2 + 20x + 12 = -4 Reorder the terms: 12 + 20x + 4x2 = -4 Solving 12 + 20x + 4x2 = -4 Solving for variable 'x'. Reorder the terms: 12 + 4 + 20x + 4x2 = -4 + 4 Combine like terms: 12 + 4 = 16 16 + 20x + 4x2 = -4 + 4 Combine like terms: -4 + 4 = 0 16 + 20x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 5x + x2) = 0 Factor a trinomial. 4((4 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -1}
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