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Simplifying -2xy(2y + 4x2) = 0 Reorder the terms: -2xy(4x2 + 2y) = 0 (4x2 * -2xy + 2y * -2xy) = 0 Reorder the terms: (-4xy2 + -8x3y) = 0 (-4xy2 + -8x3y) = 0 Solving -4xy2 + -8x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4xy'. -4xy(y + 2x2) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 2x2)' equal to zero and attempt to solve: Simplifying y + 2x2 = 0 Reorder the terms: 2x2 + y = 0 Solving 2x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x2 + 0 = 0 + -1y 2x2 = 0 + -1y Remove the zero: 2x2 = -1y Divide each side by '2'. x2 = -0.5y Simplifying x2 = -0.5y 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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