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Simplifying X(5 + -1X) = -50 (5 * X + -1X * X) = -50 (5X + -1X2) = -50 Solving 5X + -1X2 = -50 Solving for variable 'X'. Reorder the terms: 50 + 5X + -1X2 = -50 + 50 Combine like terms: -50 + 50 = 0 50 + 5X + -1X2 = 0 Factor a trinomial. (10 + -1X)(5 + X) = 0Subproblem 1
Set the factor '(10 + -1X)' equal to zero and attempt to solve: Simplifying 10 + -1X = 0 Solving 10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 0 + -10 -1X = 0 + -10 Combine like terms: 0 + -10 = -10 -1X = -10 Divide each side by '-1'. X = 10 Simplifying X = 10Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {10, -5}
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