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Simplifying 14m2 = -25m + 25 Reorder the terms: 14m2 = 25 + -25m Solving 14m2 = 25 + -25m Solving for variable 'm'. Reorder the terms: -25 + 25m + 14m2 = 25 + -25m + -25 + 25m Reorder the terms: -25 + 25m + 14m2 = 25 + -25 + -25m + 25m Combine like terms: 25 + -25 = 0 -25 + 25m + 14m2 = 0 + -25m + 25m -25 + 25m + 14m2 = -25m + 25m Combine like terms: -25m + 25m = 0 -25 + 25m + 14m2 = 0 Factor a trinomial. (-5 + -2m)(5 + -7m) = 0Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
Set the factor '(5 + -7m)' equal to zero and attempt to solve: Simplifying 5 + -7m = 0 Solving 5 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = 0 + -5 -7m = 0 + -5 Combine like terms: 0 + -5 = -5 -7m = -5 Divide each side by '-7'. m = 0.7142857143 Simplifying m = 0.7142857143Solution
m = {-2.5, 0.7142857143}
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