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Simplifying 6ax + 12x2y + -4a + -8xy = 0 Reorder the terms: -4a + 6ax + -8xy + 12x2y = 0 Solving -4a + 6ax + -8xy + 12x2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8xy' to each side of the equation. -4a + 6ax + -8xy + 8xy + 12x2y = 0 + 8xy Combine like terms: -8xy + 8xy = 0 -4a + 6ax + 0 + 12x2y = 0 + 8xy -4a + 6ax + 12x2y = 0 + 8xy Remove the zero: -4a + 6ax + 12x2y = 8xy Add '-12x2y' to each side of the equation. -4a + 6ax + 12x2y + -12x2y = 8xy + -12x2y Combine like terms: 12x2y + -12x2y = 0 -4a + 6ax + 0 = 8xy + -12x2y -4a + 6ax = 8xy + -12x2y Reorder the terms: -4a + 6ax + -8xy + 12x2y = 8xy + -8xy + -12x2y + 12x2y Combine like terms: 8xy + -8xy = 0 -4a + 6ax + -8xy + 12x2y = 0 + -12x2y + 12x2y -4a + 6ax + -8xy + 12x2y = -12x2y + 12x2y Combine like terms: -12x2y + 12x2y = 0 -4a + 6ax + -8xy + 12x2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2a + 3ax + -4xy + 6x2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2a + 3ax + -4xy + 6x2y)' equal to zero and attempt to solve: Simplifying -2a + 3ax + -4xy + 6x2y = 0 Solving -2a + 3ax + -4xy + 6x2y = 0 Move all terms containing a to the left, all other terms to the right. Add '4xy' to each side of the equation. -2a + 3ax + -4xy + 4xy + 6x2y = 0 + 4xy Combine like terms: -4xy + 4xy = 0 -2a + 3ax + 0 + 6x2y = 0 + 4xy -2a + 3ax + 6x2y = 0 + 4xy Remove the zero: -2a + 3ax + 6x2y = 4xy Add '-6x2y' to each side of the equation. -2a + 3ax + 6x2y + -6x2y = 4xy + -6x2y Combine like terms: 6x2y + -6x2y = 0 -2a + 3ax + 0 = 4xy + -6x2y -2a + 3ax = 4xy + -6x2y 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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