x+(x*x)-1=x

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

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

Multiply x * x
x + (x2) + -1 = x
x + x2 + -1 = x

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

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

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

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

Solving
-1 + x2 = 0

Solving for variable 'x'.

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

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

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

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

Simplifying
x2 = 1

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