y^2-x-6=0

Solution for y^2-x-6=0 equation:

Simplifying
y2 + -1x + -6 = 0

Reorder the terms:
-6 + -1x + y2 = 0

Solving
-6 + -1x + y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + -1x + 6 + y2 = 0 + 6

Reorder the terms:
-6 + 6 + -1x + y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x + y2 = 0 + 6
-1x + y2 = 0 + 6

Combine like terms: 0 + 6 = 6
-1x + y2 = 6

Add '-1y2' to each side of the equation.
-1x + y2 + -1y2 = 6 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x + 0 = 6 + -1y2
-1x = 6 + -1y2

Divide each side by '-1'.
x = -6 + y2

Simplifying
x = -6 + y2