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Simplifying 14m2 + 11mr = 15r2 Reorder the terms: 11mr + 14m2 = 15r2 Solving 11mr + 14m2 = 15r2 Solving for variable 'm'. Combine like terms: 15r2 + -15r2 = 0 11mr + 14m2 + -15r2 = 0 Factor a trinomial. (7m + -5r)(2m + 3r) = 0Subproblem 1
Set the factor '(7m + -5r)' equal to zero and attempt to solve: Simplifying 7m + -5r = 0 Solving 7m + -5r = 0 Move all terms containing m to the left, all other terms to the right. Add '5r' to each side of the equation. 7m + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 7m + 0 = 0 + 5r 7m = 0 + 5r Remove the zero: 7m = 5r Divide each side by '7'. m = 0.7142857143r Simplifying m = 0.7142857143rSubproblem 2
Set the factor '(2m + 3r)' equal to zero and attempt to solve: Simplifying 2m + 3r = 0 Solving 2m + 3r = 0 Move all terms containing m to the left, all other terms to the right. Add '-3r' to each side of the equation. 2m + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2m + 0 = 0 + -3r 2m = 0 + -3r Remove the zero: 2m = -3r Divide each side by '2'. m = -1.5r Simplifying m = -1.5rSolution
m = {0.7142857143r, -1.5r}
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