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Simplifying -9x + -18 = 2x2 + -2x + -40 Reorder the terms: -18 + -9x = 2x2 + -2x + -40 Reorder the terms: -18 + -9x = -40 + -2x + 2x2 Solving -18 + -9x = -40 + -2x + 2x2 Solving for variable 'x'. Reorder the terms: -18 + 40 + -9x + 2x + -2x2 = -40 + -2x + 2x2 + 40 + 2x + -2x2 Combine like terms: -18 + 40 = 22 22 + -9x + 2x + -2x2 = -40 + -2x + 2x2 + 40 + 2x + -2x2 Combine like terms: -9x + 2x = -7x 22 + -7x + -2x2 = -40 + -2x + 2x2 + 40 + 2x + -2x2 Reorder the terms: 22 + -7x + -2x2 = -40 + 40 + -2x + 2x + 2x2 + -2x2 Combine like terms: -40 + 40 = 0 22 + -7x + -2x2 = 0 + -2x + 2x + 2x2 + -2x2 22 + -7x + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 22 + -7x + -2x2 = 0 + 2x2 + -2x2 22 + -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 22 + -7x + -2x2 = 0 Factor a trinomial. (2 + -1x)(11 + 2x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Solution
x = {2, -5.5}
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