x^2+x-1-2x^2+x+1=0

Solution for x^2+x-1-2x^2+x+1=0 equation:

Simplifying
x2 + x + -1 + -2x2 + x + 1 = 0

Reorder the terms:
-1 + 1 + x + x + x2 + -2x2 = 0

Combine like terms: -1 + 1 = 0
0 + x + x + x2 + -2x2 = 0
x + x + x2 + -2x2 = 0

Combine like terms: x + x = 2x
2x + x2 + -2x2 = 0

Combine like terms: x2 + -2x2 = -1x2
2x + -1x2 = 0

Solving
2x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}