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Simplifying 30n2 + -1mn + -1m2 = 0 Reorder the terms: -1mn + -1m2 + 30n2 = 0 Solving -1mn + -1m2 + 30n2 = 0 Solving for variable 'm'. Factor a trinomial. (-1m + -6n)(m + -5n) = 0Subproblem 1
Set the factor '(-1m + -6n)' equal to zero and attempt to solve: Simplifying -1m + -6n = 0 Solving -1m + -6n = 0 Move all terms containing m to the left, all other terms to the right. Add '6n' to each side of the equation. -1m + -6n + 6n = 0 + 6n Combine like terms: -6n + 6n = 0 -1m + 0 = 0 + 6n -1m = 0 + 6n Remove the zero: -1m = 6n Divide each side by '-1'. m = -6n Simplifying m = -6nSubproblem 2
Set the factor '(m + -5n)' equal to zero and attempt to solve: Simplifying m + -5n = 0 Solving m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 m + 0 = 0 + 5n m = 0 + 5n Remove the zero: m = 5n Simplifying m = 5nSolution
m = {-6n, 5n}
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