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Simplifying 323 = x(x + -2) Reorder the terms: 323 = x(-2 + x) 323 = (-2 * x + x * x) 323 = (-2x + x2) Solving 323 = -2x + x2 Solving for variable 'x'. Reorder the terms: 323 + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 323 + 2x + -1x2 = 0 + x2 + -1x2 323 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 323 + 2x + -1x2 = 0 Factor a trinomial. (19 + -1x)(17 + x) = 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 '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {19, -17}
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