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Simplifying 4x2y + 2xy + 8x = 0 Reorder the terms: 8x + 2xy + 4x2y = 0 Solving 8x + 2xy + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + y + 2xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4 + y + 2xy)' equal to zero and attempt to solve: Simplifying 4 + y + 2xy = 0 Reorder the terms: 4 + 2xy + y = 0 Solving 4 + 2xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2xy + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + 2xy + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2xy + y = 0 + -4 2xy + y = 0 + -4 Combine like terms: 0 + -4 = -4 2xy + y = -4 Add '-1y' to each side of the equation. 2xy + y + -1y = -4 + -1y Combine like terms: y + -1y = 0 2xy + 0 = -4 + -1y 2xy = -4 + -1y Divide each side by '2y'. x = -2y-1 + -0.5 Simplifying x = -2y-1 + -0.5 Reorder the terms: x = -0.5 + -2y-1Solution
x = {0, -0.5 + -2y-1}
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