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