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Simplifying 4mn2 + -2mn + -14m2n = 0 Reorder the terms: -2mn + 4mn2 + -14m2n = 0 Solving -2mn + 4mn2 + -14m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2mn'. 2mn(-1 + 2n + -7m) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 2n + -7m)' equal to zero and attempt to solve: Simplifying -1 + 2n + -7m = 0 Reorder the terms: -1 + -7m + 2n = 0 Solving -1 + -7m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7m + 1 + 2n = 0 + 1 Reorder the terms: -1 + 1 + -7m + 2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7m + 2n = 0 + 1 -7m + 2n = 0 + 1 Combine like terms: 0 + 1 = 1 -7m + 2n = 1 Add '-2n' to each side of the equation. -7m + 2n + -2n = 1 + -2n Combine like terms: 2n + -2n = 0 -7m + 0 = 1 + -2n -7m = 1 + -2n Divide each side by '-7'. m = -0.1428571429 + 0.2857142857n Simplifying m = -0.1428571429 + 0.2857142857nSolution
m = {-0.1428571429 + 0.2857142857n}
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