32x^5y^2-1250xy^2=

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Solution for 32x^5y^2-1250xy^2= equation:


Simplifying
32x5y2 + -1250xy2 = 0

Reorder the terms:
-1250xy2 + 32x5y2 = 0

Solving
-1250xy2 + 32x5y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy2'.
2xy2(-625 + 16x4) = 0

Factor a difference between two squares.
2xy2((25 + 4x2)(-25 + 4x2)) = 0

Factor a difference between two squares.
2xy2((25 + 4x2)((5 + 2x)(-5 + 2x))) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(25 + 4x2)' equal to zero and attempt to solve: Simplifying 25 + 4x2 = 0 Solving 25 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x2 = 0 + -25 4x2 = 0 + -25 Combine like terms: 0 + -25 = -25 4x2 = -25 Divide each side by '4'. x2 = -6.25 Simplifying x2 = -6.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Subproblem 4

Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 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 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-2.5, 2.5}

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