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Simplifying 3x2 + 11x = 2x2 + -18 Reorder the terms: 11x + 3x2 = 2x2 + -18 Reorder the terms: 11x + 3x2 = -18 + 2x2 Solving 11x + 3x2 = -18 + 2x2 Solving for variable 'x'. Reorder the terms: 18 + 11x + 3x2 + -2x2 = -18 + 2x2 + 18 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 18 + 11x + 1x2 = -18 + 2x2 + 18 + -2x2 Reorder the terms: 18 + 11x + 1x2 = -18 + 18 + 2x2 + -2x2 Combine like terms: -18 + 18 = 0 18 + 11x + 1x2 = 0 + 2x2 + -2x2 18 + 11x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + 11x + 1x2 = 0 Factor a trinomial. (9 + x)(2 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-9, -2}
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