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