x-y+z-(x^2+x-y)=

Solution for x-y+z-(x^2+x-y)= equation:

Simplifying
x + -1y + z + -1(x2 + x + -1y) = 0

Reorder the terms:
x + -1y + z + -1(x + x2 + -1y) = 0
x + -1y + z + (x * -1 + x2 * -1 + -1y * -1) = 0
x + -1y + z + (-1x + -1x2 + 1y) = 0

Reorder the terms:
x + -1x + -1x2 + -1y + 1y + z = 0

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

Combine like terms: -1y + 1y = 0
-1x2 + 0 + z = 0
-1x2 + z = 0

Solving
-1x2 + z = 0

Solving for variable 'x'.

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

Add '-1z' to each side of the equation.
-1x2 + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
-1x2 + 0 = 0 + -1z
-1x2 = 0 + -1z
Remove the zero:
-1x2 = -1z

Divide each side by '-1'.
x2 = z

Simplifying
x2 = z

Combine like terms: z + -1z = 0
x2 + -1z = 0

The solution to this equation could not be determined.