5x^2y-x^2=0

Solution for 5x^2y-x^2=0 equation:

Simplifying
5x2y + -1x2 = 0

Reorder the terms:
-1x2 + 5x2y = 0

Solving
-1x2 + 5x2y = 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), 'x2'.
x2(-1 + 5y) = 0

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.
Solution
x = {0}