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Simplifying -13x = -18 + -2x2 Solving -13x = -18 + -2x2 Solving for variable 'x'. Reorder the terms: 18 + -13x + 2x2 = -18 + -2x2 + 18 + 2x2 Reorder the terms: 18 + -13x + 2x2 = -18 + 18 + -2x2 + 2x2 Combine like terms: -18 + 18 = 0 18 + -13x + 2x2 = 0 + -2x2 + 2x2 18 + -13x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 18 + -13x + 2x2 = 0 Factor a trinomial. (2 + -1x)(9 + -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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {2, 4.5}
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