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Simplifying 30mx + 12qx + 30my + 12qy = 0 Reorder the terms: 30mx + 30my + 12qx + 12qy = 0 Solving 30mx + 30my + 12qx + 12qy = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12qx' to each side of the equation. 30mx + 30my + 12qx + -12qx + 12qy = 0 + -12qx Combine like terms: 12qx + -12qx = 0 30mx + 30my + 0 + 12qy = 0 + -12qx 30mx + 30my + 12qy = 0 + -12qx Remove the zero: 30mx + 30my + 12qy = -12qx Add '-12qy' to each side of the equation. 30mx + 30my + 12qy + -12qy = -12qx + -12qy Combine like terms: 12qy + -12qy = 0 30mx + 30my + 0 = -12qx + -12qy 30mx + 30my = -12qx + -12qy Reorder the terms: 30mx + 30my + 12qx + 12qy = -12qx + 12qx + -12qy + 12qy Combine like terms: -12qx + 12qx = 0 30mx + 30my + 12qx + 12qy = 0 + -12qy + 12qy 30mx + 30my + 12qx + 12qy = -12qy + 12qy Combine like terms: -12qy + 12qy = 0 30mx + 30my + 12qx + 12qy = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(5mx + 5my + 2qx + 2qy) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5mx + 5my + 2qx + 2qy)' equal to zero and attempt to solve: Simplifying 5mx + 5my + 2qx + 2qy = 0 Solving 5mx + 5my + 2qx + 2qy = 0 Move all terms containing m to the left, all other terms to the right. Add '-2qx' to each side of the equation. 5mx + 5my + 2qx + -2qx + 2qy = 0 + -2qx Combine like terms: 2qx + -2qx = 0 5mx + 5my + 0 + 2qy = 0 + -2qx 5mx + 5my + 2qy = 0 + -2qx Remove the zero: 5mx + 5my + 2qy = -2qx Add '-2qy' to each side of the equation. 5mx + 5my + 2qy + -2qy = -2qx + -2qy Combine like terms: 2qy + -2qy = 0 5mx + 5my + 0 = -2qx + -2qy 5mx + 5my = -2qx + -2qy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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