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Simplifying 2x2 + 12x + 9 = x2 + 6x Reorder the terms: 9 + 12x + 2x2 = x2 + 6x Reorder the terms: 9 + 12x + 2x2 = 6x + x2 Solving 9 + 12x + 2x2 = 6x + x2 Solving for variable 'x'. Reorder the terms: 9 + 12x + -6x + 2x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: 12x + -6x = 6x 9 + 6x + 2x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 9 + 6x + 1x2 = 6x + x2 + -6x + -1x2 Reorder the terms: 9 + 6x + 1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 9 + 6x + 1x2 = 0 + x2 + -1x2 9 + 6x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 1x2 = 0 Factor a trinomial. (3 + x)(3 + x) = 0Subproblem 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 '(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 = -3Solution
x = {-3, -3}
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