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Simplifying m2 + -41m + 400 = 0 Reorder the terms: 400 + -41m + m2 = 0 Solving 400 + -41m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (16 + -1m)(25 + -1m) = 0Subproblem 1
Set the factor '(16 + -1m)' equal to zero and attempt to solve: Simplifying 16 + -1m = 0 Solving 16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 0 + -16 -1m = 0 + -16 Combine like terms: 0 + -16 = -16 -1m = -16 Divide each side by '-1'. m = 16 Simplifying m = 16Subproblem 2
Set the factor '(25 + -1m)' equal to zero and attempt to solve: Simplifying 25 + -1m = 0 Solving 25 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1m = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1m = 0 + -25 -1m = 0 + -25 Combine like terms: 0 + -25 = -25 -1m = -25 Divide each side by '-1'. m = 25 Simplifying m = 25Solution
m = {16, 25}
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