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Simplifying 4m2 + -8mn + 3n2 = 0 Reorder the terms: -8mn + 4m2 + 3n2 = 0 Solving -8mn + 4m2 + 3n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -3n)(2m + -1n) = 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 + -1n)' equal to zero and attempt to solve: Simplifying 2m + -1n = 0 Solving 2m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 2m + 0 = 0 + n 2m = 0 + n Remove the zero: 2m = n Divide each side by '2'. m = 0.5n Simplifying m = 0.5nSolution
m = {1.5n, 0.5n}
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