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Simplifying 6m2 + 7mn + n2 = 0 Reorder the terms: 7mn + 6m2 + n2 = 0 Solving 7mn + 6m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + n)(m + n) = 0Subproblem 1
Set the factor '(6m + n)' equal to zero and attempt to solve: Simplifying 6m + n = 0 Solving 6m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 6m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 6m + 0 = 0 + -1n 6m = 0 + -1n Remove the zero: 6m = -1n Divide each side by '6'. m = -0.1666666667n Simplifying m = -0.1666666667nSubproblem 2
Set the factor '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSolution
m = {-0.1666666667n, -1n}
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