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Simplifying mx2y + mx2 + 4mxy + 4mx + 4my + 4m = 0 Reorder the terms: 4m + 4mx + 4mxy + mx2 + mx2y + 4my = 0 Solving 4m + 4mx + 4mxy + mx2 + mx2y + 4my = 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), 'm'. m(4 + 4x + 4xy + x2 + x2y + 4y) = 0Subproblem 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 '(4 + 4x + 4xy + x2 + x2y + 4y)' equal to zero and attempt to solve: Simplifying 4 + 4x + 4xy + x2 + x2y + 4y = 0 Solving 4 + 4x + 4xy + x2 + x2y + 4y = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4x + 4xy + x2 + x2y + -4 + 4y = 0 + -4 Reorder the terms: 4 + -4 + 4x + 4xy + x2 + x2y + 4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x + 4xy + x2 + x2y + 4y = 0 + -4 4x + 4xy + x2 + x2y + 4y = 0 + -4 Combine like terms: 0 + -4 = -4 4x + 4xy + x2 + x2y + 4y = -4 Add '-4x' to each side of the equation. 4x + 4xy + x2 + x2y + -4x + 4y = -4 + -4x Reorder the terms: 4x + -4x + 4xy + x2 + x2y + 4y = -4 + -4x Combine like terms: 4x + -4x = 0 0 + 4xy + x2 + x2y + 4y = -4 + -4x 4xy + x2 + x2y + 4y = -4 + -4x Add '-4xy' to each side of the equation. 4xy + x2 + x2y + -4xy + 4y = -4 + -4x + -4xy Reorder the terms: 4xy + -4xy + x2 + x2y + 4y = -4 + -4x + -4xy Combine like terms: 4xy + -4xy = 0 0 + x2 + x2y + 4y = -4 + -4x + -4xy x2 + x2y + 4y = -4 + -4x + -4xy Add '-1x2' to each side of the equation. x2 + x2y + -1x2 + 4y = -4 + -4x + -4xy + -1x2 Reorder the terms: x2 + -1x2 + x2y + 4y = -4 + -4x + -4xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x2y + 4y = -4 + -4x + -4xy + -1x2 x2y + 4y = -4 + -4x + -4xy + -1x2 Add '-1x2y' to each side of the equation. x2y + -1x2y + 4y = -4 + -4x + -4xy + -1x2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + 4y = -4 + -4x + -4xy + -1x2 + -1x2y 4y = -4 + -4x + -4xy + -1x2 + -1x2y Add '-4y' to each side of the equation. 4y + -4y = -4 + -4x + -4xy + -1x2 + -1x2y + -4y Combine like terms: 4y + -4y = 0 0 = -4 + -4x + -4xy + -1x2 + -1x2y + -4y Simplifying 0 = -4 + -4x + -4xy + -1x2 + -1x2y + -4y 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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