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Simplifying 2xy2 + 4x2y + 6x = 0 Reorder the terms: 6x + 2xy2 + 4x2y = 0 Solving 6x + 2xy2 + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + y2 + 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 '(3 + y2 + 2xy)' equal to zero and attempt to solve: Simplifying 3 + y2 + 2xy = 0 Reorder the terms: 3 + 2xy + y2 = 0 Solving 3 + 2xy + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2xy + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 2xy + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2xy + y2 = 0 + -3 2xy + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 2xy + y2 = -3 Add '-1y2' to each side of the equation. 2xy + y2 + -1y2 = -3 + -1y2 Combine like terms: y2 + -1y2 = 0 2xy + 0 = -3 + -1y2 2xy = -3 + -1y2 Divide each side by '2y'. x = -1.5y-1 + -0.5y Simplifying x = -1.5y-1 + -0.5ySolution
x = {0, -1.5y-1 + -0.5y}
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