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Simplifying x2 = 342 + -1x Solving x2 = 342 + -1x Solving for variable 'x'. Reorder the terms: -342 + x + x2 = 342 + -1x + -342 + x Reorder the terms: -342 + x + x2 = 342 + -342 + -1x + x Combine like terms: 342 + -342 = 0 -342 + x + x2 = 0 + -1x + x -342 + x + x2 = -1x + x Combine like terms: -1x + x = 0 -342 + x + x2 = 0 Factor a trinomial. (-19 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 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 = {-19, 18}
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