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Simplifying 11x + x2 = 18x + 8 Reorder the terms: 11x + x2 = 8 + 18x Solving 11x + x2 = 8 + 18x Solving for variable 'x'. Reorder the terms: -8 + 11x + -18x + x2 = 8 + 18x + -8 + -18x Combine like terms: 11x + -18x = -7x -8 + -7x + x2 = 8 + 18x + -8 + -18x Reorder the terms: -8 + -7x + x2 = 8 + -8 + 18x + -18x Combine like terms: 8 + -8 = 0 -8 + -7x + x2 = 0 + 18x + -18x -8 + -7x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 -8 + -7x + x2 = 0 Factor a trinomial. (-1 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-1, 8}
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