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Simplifying m2 = -40m + -400 Reorder the terms: m2 = -400 + -40m Solving m2 = -400 + -40m Solving for variable 'm'. Reorder the terms: 400 + 40m + m2 = -400 + -40m + 400 + 40m Reorder the terms: 400 + 40m + m2 = -400 + 400 + -40m + 40m Combine like terms: -400 + 400 = 0 400 + 40m + m2 = 0 + -40m + 40m 400 + 40m + m2 = -40m + 40m Combine like terms: -40m + 40m = 0 400 + 40m + m2 = 0 Factor a trinomial. (20 + m)(20 + m) = 0Subproblem 1
Set the factor '(20 + m)' equal to zero and attempt to solve: Simplifying 20 + m = 0 Solving 20 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + m = 0 + -20 m = 0 + -20 Combine like terms: 0 + -20 = -20 m = -20 Simplifying m = -20Subproblem 2
Set the factor '(20 + m)' equal to zero and attempt to solve: Simplifying 20 + m = 0 Solving 20 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + m = 0 + -20 m = 0 + -20 Combine like terms: 0 + -20 = -20 m = -20 Simplifying m = -20Solution
m = {-20, -20}
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