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Simplifying x2 + 12x + 6 = -3 + -3x2 Reorder the terms: 6 + 12x + x2 = -3 + -3x2 Solving 6 + 12x + x2 = -3 + -3x2 Solving for variable 'x'. Reorder the terms: 6 + 3 + 12x + x2 + 3x2 = -3 + -3x2 + 3 + 3x2 Combine like terms: 6 + 3 = 9 9 + 12x + x2 + 3x2 = -3 + -3x2 + 3 + 3x2 Combine like terms: x2 + 3x2 = 4x2 9 + 12x + 4x2 = -3 + -3x2 + 3 + 3x2 Reorder the terms: 9 + 12x + 4x2 = -3 + 3 + -3x2 + 3x2 Combine like terms: -3 + 3 = 0 9 + 12x + 4x2 = 0 + -3x2 + 3x2 9 + 12x + 4x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 9 + 12x + 4x2 = 0 Factor a trinomial. (3 + 2x)(3 + 2x) = 0Subproblem 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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