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Simplifying X(X + 5) = 104 Reorder the terms: X(5 + X) = 104 (5 * X + X * X) = 104 (5X + X2) = 104 Solving 5X + X2 = 104 Solving for variable 'X'. Reorder the terms: -104 + 5X + X2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + 5X + X2 = 0 Factor a trinomial. (-13 + -1X)(8 + -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 '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {-13, 8}
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