20x^2-500x^2y^2=

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Solution for 20x^2-500x^2y^2= equation: 


Simplifying
20x2 + -500x2y2 = 0

Solving
20x2 + -500x2y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '20x2'.
20x2(1 + -25y2) = 0

Factor a difference between two squares.
20x2((1 + 5y)(1 + -5y)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve:

Simplifying
1 + 5y = 0

Solving
1 + 5y = 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 + 5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5y = 0 + -1
5y = 0 + -1

Combine like terms: 0 + -1 = -1
5y = -1

Add '-5y' to each side of the equation.
5y + -5y = -1 + -5y

Combine like terms: 5y + -5y = 0
0 = -1 + -5y

Simplifying
0 = -1 + -5y

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 '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Add '5y' to each side of the equation.
-5y + 5y = -1 + 5y

Combine like terms: -5y + 5y = 0
0 = -1 + 5y

Simplifying
0 = -1 + 5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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