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Simplifying 12x2 + 12x = -3 Reorder the terms: 12x + 12x2 = -3 Solving 12x + 12x2 = -3 Solving for variable 'x'. Reorder the terms: 3 + 12x + 12x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 12x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 4x + 4x2) = 0 Factor a trinomial. 3((1 + 2x)(1 + 2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.5, -0.5}
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