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Simplifying x4y6 + -4x2 = 0 Reorder the terms: -4x2 + x4y6 = 0 Solving -4x2 + x4y6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-4 + x2y6) = 0 Factor a difference between two squares. x2((2 + xy3)(-2 + xy3)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + xy3)' equal to zero and attempt to solve: Simplifying 2 + xy3 = 0 Solving 2 + xy3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + xy3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy3 = 0 + -2 xy3 = 0 + -2 Combine like terms: 0 + -2 = -2 xy3 = -2 Divide each side by 'y3'. x = -2y-3 Simplifying x = -2y-3Subproblem 3
Set the factor '(-2 + xy3)' equal to zero and attempt to solve: Simplifying -2 + xy3 = 0 Solving -2 + xy3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + xy3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + xy3 = 0 + 2 xy3 = 0 + 2 Combine like terms: 0 + 2 = 2 xy3 = 2 Divide each side by 'y3'. x = 2y-3 Simplifying x = 2y-3Solution
x = {0, -2y-3, 2y-3}
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