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Simplifying 4m2 + -23mn + -6n2 = 0 Reorder the terms: -23mn + 4m2 + -6n2 = 0 Solving -23mn + 4m2 + -6n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -6n)(4m + n) = 0Subproblem 1
Set the factor '(m + -6n)' equal to zero and attempt to solve: Simplifying m + -6n = 0 Solving m + -6n = 0 Move all terms containing m to the left, all other terms to the right. Add '6n' to each side of the equation. m + -6n + 6n = 0 + 6n Combine like terms: -6n + 6n = 0 m + 0 = 0 + 6n m = 0 + 6n Remove the zero: m = 6n Simplifying m = 6nSubproblem 2
Set the factor '(4m + n)' equal to zero and attempt to solve: Simplifying 4m + n = 0 Solving 4m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 4m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 4m + 0 = 0 + -1n 4m = 0 + -1n Remove the zero: 4m = -1n Divide each side by '4'. m = -0.25n Simplifying m = -0.25nSolution
m = {6n, -0.25n}
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