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Simplifying 0 = 6a2y + -2abx + -3aby + 4a2x Reorder the terms: 0 = -2abx + -3aby + 4a2x + 6a2y Solving 0 = -2abx + -3aby + 4a2x + 6a2y Solving for variable 'a'. Remove the zero: 2abx + 3aby + -4a2x + -6a2y = -2abx + -3aby + 4a2x + 6a2y + 2abx + 3aby + -4a2x + -6a2y Reorder the terms: 2abx + 3aby + -4a2x + -6a2y = -2abx + 2abx + -3aby + 3aby + 4a2x + -4a2x + 6a2y + -6a2y Combine like terms: -2abx + 2abx = 0 2abx + 3aby + -4a2x + -6a2y = 0 + -3aby + 3aby + 4a2x + -4a2x + 6a2y + -6a2y 2abx + 3aby + -4a2x + -6a2y = -3aby + 3aby + 4a2x + -4a2x + 6a2y + -6a2y Combine like terms: -3aby + 3aby = 0 2abx + 3aby + -4a2x + -6a2y = 0 + 4a2x + -4a2x + 6a2y + -6a2y 2abx + 3aby + -4a2x + -6a2y = 4a2x + -4a2x + 6a2y + -6a2y Combine like terms: 4a2x + -4a2x = 0 2abx + 3aby + -4a2x + -6a2y = 0 + 6a2y + -6a2y 2abx + 3aby + -4a2x + -6a2y = 6a2y + -6a2y Combine like terms: 6a2y + -6a2y = 0 2abx + 3aby + -4a2x + -6a2y = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(2bx + 3by + -4ax + -6ay) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2bx + 3by + -4ax + -6ay)' equal to zero and attempt to solve: Simplifying 2bx + 3by + -4ax + -6ay = 0 Reorder the terms: -4ax + -6ay + 2bx + 3by = 0 Solving -4ax + -6ay + 2bx + 3by = 0 Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. -4ax + -6ay + 2bx + -2bx + 3by = 0 + -2bx Combine like terms: 2bx + -2bx = 0 -4ax + -6ay + 0 + 3by = 0 + -2bx -4ax + -6ay + 3by = 0 + -2bx Remove the zero: -4ax + -6ay + 3by = -2bx Add '-3by' to each side of the equation. -4ax + -6ay + 3by + -3by = -2bx + -3by Combine like terms: 3by + -3by = 0 -4ax + -6ay + 0 = -2bx + -3by -4ax + -6ay = -2bx + -3by The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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