2X^2-X-1=-1

Solution for 2X^2-X-1=-1 equation:

Simplifying
2X2 + -1X + -1 = -1

Reorder the terms:
-1 + -1X + 2X2 = -1

Add '1' to each side of the equation.
-1 + -1X + 1 + 2X2 = -1 + 1

Reorder the terms:
-1 + 1 + -1X + 2X2 = -1 + 1

Combine like terms: -1 + 1 = 0
0 + -1X + 2X2 = -1 + 1
-1X + 2X2 = -1 + 1

Combine like terms: -1 + 1 = 0
-1X + 2X2 = 0

Solving
-1X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-1 + 2X) = 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 '(-1 + 2X)' equal to zero and attempt to solve:

Simplifying
-1 + 2X = 0

Solving
-1 + 2X = 0

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

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

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

Combine like terms: 0 + 1 = 1
2X = 1

Divide each side by '2'.
X = 0.5

Simplifying
X = 0.5
Solution
X = {0, 0.5}