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Simplifying 4m2y + 2mxy + 6my2 = 0 Reorder the terms: 2mxy + 6my2 + 4m2y = 0 Solving 2mxy + 6my2 + 4m2y = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2my'. 2my(x + 3y + 2m) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'my' equal to zero and attempt to solve: Simplifying my = 0 Solving my = 0 Move all terms containing m to the left, all other terms to the right. Simplifying my = 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 '(x + 3y + 2m)' equal to zero and attempt to solve: Simplifying x + 3y + 2m = 0 Reorder the terms: 2m + x + 3y = 0 Solving 2m + x + 3y = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 2m + x + -1x + 3y = 0 + -1x Combine like terms: x + -1x = 0 2m + 0 + 3y = 0 + -1x 2m + 3y = 0 + -1x Remove the zero: 2m + 3y = -1x Add '-3y' to each side of the equation. 2m + 3y + -3y = -1x + -3y Combine like terms: 3y + -3y = 0 2m + 0 = -1x + -3y 2m = -1x + -3y Divide each side by '2'. m = -0.5x + -1.5y Simplifying m = -0.5x + -1.5ySolution
m = {-0.5x + -1.5y}
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