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Simplifying x2 + 10x + 9 = -3x + -3 Reorder the terms: 9 + 10x + x2 = -3x + -3 Reorder the terms: 9 + 10x + x2 = -3 + -3x Solving 9 + 10x + x2 = -3 + -3x Solving for variable 'x'. Reorder the terms: 9 + 3 + 10x + 3x + x2 = -3 + -3x + 3 + 3x Combine like terms: 9 + 3 = 12 12 + 10x + 3x + x2 = -3 + -3x + 3 + 3x Combine like terms: 10x + 3x = 13x 12 + 13x + x2 = -3 + -3x + 3 + 3x Reorder the terms: 12 + 13x + x2 = -3 + 3 + -3x + 3x Combine like terms: -3 + 3 = 0 12 + 13x + x2 = 0 + -3x + 3x 12 + 13x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 12 + 13x + x2 = 0 Factor a trinomial. (12 + x)(1 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 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 = {-12, -1}
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