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Simplifying 12mn + -4m2 + -9n2 = 0 Solving 12mn + -4m2 + -9n2 = 0 Solving for variable 'm'. Factor a trinomial. (-2m + 3n)(2m + -3n) = 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 '(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 = 1.5nSolution
m = {1.5n, 1.5n}
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