y(y-1)=x(x+1)

Solution for y(y-1)=x(x+1) equation:

Simplifying
y(y + -1) = x(x + 1)

Reorder the terms:
y(-1 + y) = x(x + 1)
(-1 * y + y * y) = x(x + 1)
(-1y + y2) = x(x + 1)

Reorder the terms:
-1y + y2 = x(1 + x)
-1y + y2 = (1 * x + x * x)
-1y + y2 = (1x + x2)

Solving
-1y + y2 = 1x + x2

Solving for variable 'y'.

Reorder the terms:
-1x + -1x2 + -1y + y2 = 1x + x2 + -1x + -1x2

Reorder the terms:
-1x + -1x2 + -1y + y2 = 1x + -1x + x2 + -1x2

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

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

The solution to this equation could not be determined.