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Simplifying 10m2 = -49 + 49m Solving 10m2 = -49 + 49m Solving for variable 'm'. Reorder the terms: 49 + -49m + 10m2 = -49 + 49m + 49 + -49m Reorder the terms: 49 + -49m + 10m2 = -49 + 49 + 49m + -49m Combine like terms: -49 + 49 = 0 49 + -49m + 10m2 = 0 + 49m + -49m 49 + -49m + 10m2 = 49m + -49m Combine like terms: 49m + -49m = 0 49 + -49m + 10m2 = 0 Factor a trinomial. (7 + -5m)(7 + -2m) = 0Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {1.4, 3.5}
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