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Simplifying 32x4y2 + -80x2y + 50 = 0 Reorder the terms: 50 + -80x2y + 32x4y2 = 0 Solving 50 + -80x2y + 32x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -40x2y + 16x4y2) = 0 Factor a trinomial. 2((5 + -4x2y)(5 + -4x2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4x2y)' equal to zero and attempt to solve: Simplifying 5 + -4x2y = 0 Solving 5 + -4x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x2y = 0 + -5 -4x2y = 0 + -5 Combine like terms: 0 + -5 = -5 -4x2y = -5 Divide each side by '-4y'. x2 = 1.25y-1 Simplifying x2 = 1.25y-1 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 + -4x2y)' equal to zero and attempt to solve: Simplifying 5 + -4x2y = 0 Solving 5 + -4x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x2y = 0 + -5 -4x2y = 0 + -5 Combine like terms: 0 + -5 = -5 -4x2y = -5 Divide each side by '-4y'. x2 = 1.25y-1 Simplifying x2 = 1.25y-1 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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