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Simplifying 18 = 6x + x(x + -13) Reorder the terms: 18 = 6x + x(-13 + x) 18 = 6x + (-13 * x + x * x) 18 = 6x + (-13x + x2) Combine like terms: 6x + -13x = -7x 18 = -7x + x2 Solving 18 = -7x + x2 Solving for variable 'x'. Reorder the terms: 18 + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 18 + 7x + -1x2 = 0 + x2 + -1x2 18 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + 7x + -1x2 = 0 Factor a trinomial. (9 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. 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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