9x^2-x-1=-x

Solution for 9x^2-x-1=-x equation:

Simplifying
9x2 + -1x + -1 = -1x

Reorder the terms:
-1 + -1x + 9x2 = -1x

Add 'x' to each side of the equation.
-1 + -1x + x + 9x2 = -1x + x

Combine like terms: -1x + x = 0
-1 + 0 + 9x2 = -1x + x
-1 + 9x2 = -1x + x

Combine like terms: -1x + x = 0
-1 + 9x2 = 0

Solving
-1 + 9x2 = 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 + 9x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9x2 = 0 + 1
9x2 = 0 + 1

Combine like terms: 0 + 1 = 1
9x2 = 1

Divide each side by '9'.
x2 = 0.1111111111

Simplifying
x2 = 0.1111111111

Take the square root of each side:
x = {-0.333333333, 0.333333333}