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Simplifying 2m2 + 7mn + -15n2 = 0 Reorder the terms: 7mn + 2m2 + -15n2 = 0 Solving 7mn + 2m2 + -15n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -3n)(m + 5n) = 0Subproblem 1
Set the factor '(2m + -3n)' equal to zero and attempt to solve: Simplifying 2m + -3n = 0 Solving 2m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 2m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 2m + 0 = 0 + 3n 2m = 0 + 3n Remove the zero: 2m = 3n Divide each side by '2'. m = 1.5n Simplifying m = 1.5nSubproblem 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 = {1.5n, -5n}
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