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Simplifying x2 = 19x + -18 Reorder the terms: x2 = -18 + 19x Solving x2 = -18 + 19x Solving for variable 'x'. Reorder the terms: 18 + -19x + x2 = -18 + 19x + 18 + -19x Reorder the terms: 18 + -19x + x2 = -18 + 18 + 19x + -19x Combine like terms: -18 + 18 = 0 18 + -19x + x2 = 0 + 19x + -19x 18 + -19x + x2 = 19x + -19x Combine like terms: 19x + -19x = 0 18 + -19x + x2 = 0 Factor a trinomial. (1 + -1x)(18 + -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 '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {1, 18}
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