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Simplifying 0 = 9 + 12x + 4x2 Solving 0 = 9 + 12x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + -12x + -4x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Reorder the terms: -9 + -12x + -4x2 = 9 + -9 + 12x + -12x + 4x2 + -4x2 Combine like terms: 9 + -9 = 0 -9 + -12x + -4x2 = 0 + 12x + -12x + 4x2 + -4x2 -9 + -12x + -4x2 = 12x + -12x + 4x2 + -4x2 Combine like terms: 12x + -12x = 0 -9 + -12x + -4x2 = 0 + 4x2 + -4x2 -9 + -12x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9 + -12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 12x + 4x2) = 0 Factor a trinomial. -1((3 + 2x)(3 + 2x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-1.5, -1.5}
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