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Simplifying -1X(-1X + 1) = 182 Reorder the terms: -1X(1 + -1X) = 182 (1 * -1X + -1X * -1X) = 182 (-1X + 1X2) = 182 Solving -1X + 1X2 = 182 Solving for variable 'X'. Reorder the terms: -182 + -1X + 1X2 = 182 + -182 Combine like terms: 182 + -182 = 0 -182 + -1X + 1X2 = 0 Factor a trinomial. (-13 + -1X)(14 + -1X) = 0Subproblem 1
Set the factor '(-13 + -1X)' equal to zero and attempt to solve: Simplifying -13 + -1X = 0 Solving -13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1X = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1X = 0 + 13 -1X = 0 + 13 Combine like terms: 0 + 13 = 13 -1X = 13 Divide each side by '-1'. X = -13 Simplifying X = -13Subproblem 2
Set the factor '(14 + -1X)' equal to zero and attempt to solve: Simplifying 14 + -1X = 0 Solving 14 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1X = 0 + -14 -1X = 0 + -14 Combine like terms: 0 + -14 = -14 -1X = -14 Divide each side by '-1'. X = 14 Simplifying X = 14Solution
X = {-13, 14}
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