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Simplifying 8 + 4 + 9y + 10 + -8x + 12xy + -3y = 0 Reorder the terms: 8 + 4 + 10 + -8x + 12xy + 9y + -3y = 0 Combine like terms: 8 + 4 = 12 12 + 10 + -8x + 12xy + 9y + -3y = 0 Combine like terms: 12 + 10 = 22 22 + -8x + 12xy + 9y + -3y = 0 Combine like terms: 9y + -3y = 6y 22 + -8x + 12xy + 6y = 0 Solving 22 + -8x + 12xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -8x + 12xy + -22 + 6y = 0 + -22 Reorder the terms: 22 + -22 + -8x + 12xy + 6y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -8x + 12xy + 6y = 0 + -22 -8x + 12xy + 6y = 0 + -22 Combine like terms: 0 + -22 = -22 -8x + 12xy + 6y = -22 Add '-6y' to each side of the equation. -8x + 12xy + 6y + -6y = -22 + -6y Combine like terms: 6y + -6y = 0 -8x + 12xy + 0 = -22 + -6y -8x + 12xy = -22 + -6y Reorder the terms: 22 + -8x + 12xy + 6y = -22 + -6y + 22 + 6y Reorder the terms: 22 + -8x + 12xy + 6y = -22 + 22 + -6y + 6y Combine like terms: -22 + 22 = 0 22 + -8x + 12xy + 6y = 0 + -6y + 6y 22 + -8x + 12xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 22 + -8x + 12xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -4x + 6xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -4x + 6xy + 3y)' equal to zero and attempt to solve: Simplifying 11 + -4x + 6xy + 3y = 0 Solving 11 + -4x + 6xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -4x + 6xy + -11 + 3y = 0 + -11 Reorder the terms: 11 + -11 + -4x + 6xy + 3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x + 6xy + 3y = 0 + -11 -4x + 6xy + 3y = 0 + -11 Combine like terms: 0 + -11 = -11 -4x + 6xy + 3y = -11 Add '-3y' to each side of the equation. -4x + 6xy + 3y + -3y = -11 + -3y Combine like terms: 3y + -3y = 0 -4x + 6xy + 0 = -11 + -3y -4x + 6xy = -11 + -3y 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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