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Simplifying m2 + -8mn + 7n2 = 0 Reorder the terms: -8mn + m2 + 7n2 = 0 Solving -8mn + m2 + 7n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -7n)(m + -1n) = 0Subproblem 1
Set the factor '(m + -7n)' equal to zero and attempt to solve: Simplifying m + -7n = 0 Solving m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 m + 0 = 0 + 7n m = 0 + 7n Remove the zero: m = 7n Simplifying m = 7nSubproblem 2
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 = nSolution
m = {7n, n}
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