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Simplifying 104 = (m + 5) * m Reorder the terms: 104 = (5 + m) * m Reorder the terms for easier multiplication: 104 = m(5 + m) 104 = (5 * m + m * m) 104 = (5m + m2) Solving 104 = 5m + m2 Solving for variable 'm'. Reorder the terms: 104 + -5m + -1m2 = 5m + -5m + m2 + -1m2 Combine like terms: 5m + -5m = 0 104 + -5m + -1m2 = 0 + m2 + -1m2 104 + -5m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 104 + -5m + -1m2 = 0 Factor a trinomial. (8 + -1m)(13 + m) = 0Subproblem 1
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Subproblem 2
Set the factor '(13 + m)' equal to zero and attempt to solve: Simplifying 13 + m = 0 Solving 13 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + m = 0 + -13 m = 0 + -13 Combine like terms: 0 + -13 = -13 m = -13 Simplifying m = -13Solution
m = {8, -13}
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