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Simplifying X(18 + -1X) = 17 (18 * X + -1X * X) = 17 (18X + -1X2) = 17 Solving 18X + -1X2 = 17 Solving for variable 'X'. Reorder the terms: -17 + 18X + -1X2 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 + 18X + -1X2 = 0 Factor a trinomial. (-17 + X)(1 + -1X) = 0Subproblem 1
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 = 17Subproblem 2
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 = 1Solution
X = {17, 1}
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