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Simplifying x + 18 = x(x + 8) Reorder the terms: 18 + x = x(x + 8) Reorder the terms: 18 + x = x(8 + x) 18 + x = (8 * x + x * x) 18 + x = (8x + x2) Solving 18 + x = 8x + x2 Solving for variable 'x'. Combine like terms: x + -8x = -7x 18 + -7x + -1x2 = 8x + x2 + -8x + -1x2 Reorder the terms: 18 + -7x + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 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. (2 + -1x)(9 + x) = 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 + 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 = -9Solution
x = {2, -9}
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