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Simplifying 4mx + -6my = 0 Solving 4mx + -6my = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2m'. 2m(2x + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing m to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -3y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -3y = 0 + -2x -3y = 0 + -2x Remove the zero: -3y = -2x Add '3y' to each side of the equation. -3y + 3y = -2x + 3y Combine like terms: -3y + 3y = 0 0 = -2x + 3y Simplifying 0 = -2x + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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