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Simplifying m2 + mn + -56n2 = 0 Reorder the terms: mn + m2 + -56n2 = 0 Solving mn + m2 + -56n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -7n)(m + 8n) = 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 + 8n)' equal to zero and attempt to solve: Simplifying m + 8n = 0 Solving m + 8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 m + 0 = 0 + -8n m = 0 + -8n Remove the zero: m = -8n Simplifying m = -8nSolution
m = {7n, -8n}
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