25x^2-x-25y^2+x=0

Solution for 25x^2-x-25y^2+x=0 equation:

Simplifying
25x2 + -1x + -25y2 + x = 0

Reorder the terms:
-1x + x + 25x2 + -25y2 = 0

Combine like terms: -1x + x = 0
0 + 25x2 + -25y2 = 0
25x2 + -25y2 = 0

Solving
25x2 + -25y2 = 0

Solving for variable 'x'.

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

Add '25y2' to each side of the equation.
25x2 + -25y2 + 25y2 = 0 + 25y2

Combine like terms: -25y2 + 25y2 = 0
25x2 + 0 = 0 + 25y2
25x2 = 0 + 25y2
Remove the zero:
25x2 = 25y2

Divide each side by '25'.
x2 = y2

Simplifying
x2 = y2

Take the square root of each side:
x = {-1y, y}