8x^3y^2+20x^2y^4=

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Solution for 8x^3y^2+20x^2y^4= equation:


Simplifying
8x3y2 + 20x2y4 = 0

Reorder the terms:
20x2y4 + 8x3y2 = 0

Solving
20x2y4 + 8x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y2'.
4x2y2(5y2 + 2x) = 0

Ignore the factor 4.

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 '(5y2 + 2x)' equal to zero and attempt to solve: Simplifying 5y2 + 2x = 0 Reorder the terms: 2x + 5y2 = 0 Solving 2x + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 2x + 5y2 + -5y2 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 2x + 0 = 0 + -5y2 2x = 0 + -5y2 Remove the zero: 2x = -5y2 Divide each side by '2'. x = -2.5y2 Simplifying x = -2.5y2

Solution

x = {-2.5y2}

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