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Simplifying 2x2 + 10x + 12 + -1x2 + -6x + -9 = 0 Reorder the terms: 12 + -9 + 10x + -6x + 2x2 + -1x2 = 0 Combine like terms: 12 + -9 = 3 3 + 10x + -6x + 2x2 + -1x2 = 0 Combine like terms: 10x + -6x = 4x 3 + 4x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 3 + 4x + 1x2 = 0 Solving 3 + 4x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(1 + 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 '(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 = {-3, -1}
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