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Simplifying x2 + 11x + 18 = 3x + 3 Reorder the terms: 18 + 11x + x2 = 3x + 3 Reorder the terms: 18 + 11x + x2 = 3 + 3x Solving 18 + 11x + x2 = 3 + 3x Solving for variable 'x'. Reorder the terms: 18 + -3 + 11x + -3x + x2 = 3 + 3x + -3 + -3x Combine like terms: 18 + -3 = 15 15 + 11x + -3x + x2 = 3 + 3x + -3 + -3x Combine like terms: 11x + -3x = 8x 15 + 8x + x2 = 3 + 3x + -3 + -3x Reorder the terms: 15 + 8x + x2 = 3 + -3 + 3x + -3x Combine like terms: 3 + -3 = 0 15 + 8x + x2 = 0 + 3x + -3x 15 + 8x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 15 + 8x + x2 = 0 Factor a trinomial. (5 + x)(3 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -3}
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