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Simplifying 36xmn2 + 24xm2n + 54x2mn = 0 Reorder the terms: 54mnx2 + 36mn2x + 24m2nx = 0 Solving 54mnx2 + 36mn2x + 24m2nx = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6mnx'. 6mnx(9x + 6n + 4m) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'mnx' equal to zero and attempt to solve: Simplifying mnx = 0 Solving mnx = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mnx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9x + 6n + 4m)' equal to zero and attempt to solve: Simplifying 9x + 6n + 4m = 0 Reorder the terms: 4m + 6n + 9x = 0 Solving 4m + 6n + 9x = 0 Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. 4m + 6n + -6n + 9x = 0 + -6n Combine like terms: 6n + -6n = 0 4m + 0 + 9x = 0 + -6n 4m + 9x = 0 + -6n Remove the zero: 4m + 9x = -6n Add '-9x' to each side of the equation. 4m + 9x + -9x = -6n + -9x Combine like terms: 9x + -9x = 0 4m + 0 = -6n + -9x 4m = -6n + -9x Divide each side by '4'. m = -1.5n + -2.25x Simplifying m = -1.5n + -2.25xSolution
m = {-1.5n + -2.25x}
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