2x^2y^2+8x^3y^2=0

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Solution for 2x^2y^2+8x^3y^2=0 equation:


Simplifying
2x2y2 + 8x3y2 = 0

Solving
2x2y2 + 8x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y2'.
2x2y2(1 + 4x) = 0

Ignore the factor 2.

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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-0.25}

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