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Simplifying 5x + -2y + 3x + 2xy = 0 Reorder the terms: 5x + 3x + 2xy + -2y = 0 Combine like terms: 5x + 3x = 8x 8x + 2xy + -2y = 0 Solving 8x + 2xy + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 8x + 2xy + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 8x + 2xy + 0 = 0 + 2y 8x + 2xy = 0 + 2y Remove the zero: 8x + 2xy = 2y Combine like terms: 2y + -2y = 0 8x + 2xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4x + xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4x + xy + -1y)' equal to zero and attempt to solve: Simplifying 4x + xy + -1y = 0 Solving 4x + xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + xy + 0 = 0 + y 4x + xy = 0 + y Remove the zero: 4x + xy = y 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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