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Simplifying (x + 6) * x = 391 Reorder the terms: (6 + x) * x = 391 Reorder the terms for easier multiplication: x(6 + x) = 391 (6 * x + x * x) = 391 (6x + x2) = 391 Solving 6x + x2 = 391 Solving for variable 'x'. Reorder the terms: -391 + 6x + x2 = 391 + -391 Combine like terms: 391 + -391 = 0 -391 + 6x + x2 = 0 Factor a trinomial. (-23 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 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 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-23, 17}
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