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Simplifying 80 = m(m + 2) Reorder the terms: 80 = m(2 + m) 80 = (2 * m + m * m) 80 = (2m + m2) Solving 80 = 2m + m2 Solving for variable 'm'. Reorder the terms: 80 + -2m + -1m2 = 2m + -2m + m2 + -1m2 Combine like terms: 2m + -2m = 0 80 + -2m + -1m2 = 0 + m2 + -1m2 80 + -2m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 80 + -2m + -1m2 = 0 Factor a trinomial. (8 + -1m)(10 + 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 '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Solution
m = {8, -10}
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