X^2-x-y=42

Solution for X^2-x-y=42 equation:

Simplifying
X2 + -1x + -1y = 42

Solving
X2 + -1x + -1y = 42

Solving for variable 'X'.

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

Add 'x' to each side of the equation.
X2 + -1x + x + -1y = 42 + x

Combine like terms: -1x + x = 0
X2 + 0 + -1y = 42 + x
X2 + -1y = 42 + x

Add 'y' to each side of the equation.
X2 + -1y + y = 42 + x + y

Combine like terms: -1y + y = 0
X2 + 0 = 42 + x + y
X2 = 42 + x + y

Simplifying
X2 = 42 + x + y

Reorder the terms:
-42 + X2 + -1x + -1y = 42 + x + y + -42 + -1x + -1y

Reorder the terms:
-42 + X2 + -1x + -1y = 42 + -42 + x + -1x + y + -1y

Combine like terms: 42 + -42 = 0
-42 + X2 + -1x + -1y = 0 + x + -1x + y + -1y
-42 + X2 + -1x + -1y = x + -1x + y + -1y

Combine like terms: x + -1x = 0
-42 + X2 + -1x + -1y = 0 + y + -1y
-42 + X2 + -1x + -1y = y + -1y

Combine like terms: y + -1y = 0
-42 + X2 + -1x + -1y = 0

The solution to this equation could not be determined.