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Simplifying m2 + -29m + 100 = 0 Reorder the terms: 100 + -29m + m2 = 0 Solving 100 + -29m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -1m)(25 + -1m) = 0Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 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 = {4, 25}
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