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Simplifying x4y2 + -6x3y3 + 8x2y4 = 0 Reorder the terms: 8x2y4 + -6x3y3 + x4y2 = 0 Solving 8x2y4 + -6x3y3 + x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y2'. x2y2(8y2 + -6xy + x2) = 0 Factor a trinomial. x2y2((2y + -1x)(4y + -1x)) = 0Subproblem 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 '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2ySubproblem 3
Set the factor '(4y + -1x)' equal to zero and attempt to solve: Simplifying 4y + -1x = 0 Reorder the terms: -1x + 4y = 0 Solving -1x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -1x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = 0 + -4y -1x = 0 + -4y Remove the zero: -1x = -4y Divide each side by '-1'. x = 4y Simplifying x = 4ySolution
x = {2y, 4y}
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