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