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Simplifying 16m2 + -24mn + 9n2 = 0 Reorder the terms: -24mn + 16m2 + 9n2 = 0 Solving -24mn + 16m2 + 9n2 = 0 Solving for variable 'm'. Factor a trinomial. (4m + -3n)(4m + -3n) = 0Subproblem 1
Set the factor '(4m + -3n)' equal to zero and attempt to solve: Simplifying 4m + -3n = 0 Solving 4m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 4m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 4m + 0 = 0 + 3n 4m = 0 + 3n Remove the zero: 4m = 3n Divide each side by '4'. m = 0.75n Simplifying m = 0.75nSubproblem 2
Set the factor '(4m + -3n)' equal to zero and attempt to solve: Simplifying 4m + -3n = 0 Solving 4m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 4m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 4m + 0 = 0 + 3n 4m = 0 + 3n Remove the zero: 4m = 3n Divide each side by '4'. m = 0.75n Simplifying m = 0.75nSolution
m = {0.75n, 0.75n}
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