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Simplifying 4x4y6 + -10x2y4 + 10x2y2 = 0 Reorder the terms: 10x2y2 + -10x2y4 + 4x4y6 = 0 Solving 10x2y2 + -10x2y4 + 4x4y6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y2'. 2x2y2(5 + -5y2 + 2x2y4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(5 + -5y2 + 2x2y4)' equal to zero and attempt to solve: Simplifying 5 + -5y2 + 2x2y4 = 0 Reorder the terms: 5 + 2x2y4 + -5y2 = 0 Solving 5 + 2x2y4 + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2x2y4 + -5 + -5y2 = 0 + -5 Reorder the terms: 5 + -5 + 2x2y4 + -5y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2y4 + -5y2 = 0 + -5 2x2y4 + -5y2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2y4 + -5y2 = -5 Add '5y2' to each side of the equation. 2x2y4 + -5y2 + 5y2 = -5 + 5y2 Combine like terms: -5y2 + 5y2 = 0 2x2y4 + 0 = -5 + 5y2 2x2y4 = -5 + 5y2 Divide each side by '2y4'. x2 = -2.5y-4 + 2.5y-2 Simplifying x2 = -2.5y-4 + 2.5y-2 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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