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Simplifying 6m2 + mn + -7n2 = 0 Reorder the terms: mn + 6m2 + -7n2 = 0 Solving mn + 6m2 + -7n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -1n)(6m + 7n) = 0Subproblem 1
Set the factor '(m + -1n)' equal to zero and attempt to solve: Simplifying m + -1n = 0 Solving m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. m + -1n + n = 0 + n Combine like terms: -1n + n = 0 m + 0 = 0 + n m = 0 + n Remove the zero: m = n Simplifying m = nSubproblem 2
Set the factor '(6m + 7n)' equal to zero and attempt to solve: Simplifying 6m + 7n = 0 Solving 6m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 6m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 6m + 0 = 0 + -7n 6m = 0 + -7n Remove the zero: 6m = -7n Divide each side by '6'. m = -1.166666667n Simplifying m = -1.166666667nSolution
m = {n, -1.166666667n}
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