9x^2-x=-1

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

Simplifying
9x2 + -1x = -1

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

Solving
-1x + 9x2 = -1

Solving for variable 'x'.

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

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

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
0.1111111111 + -0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.1111111111x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + -0.1111111111x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + -0.1111111111x + x2 = 0 + -0.1111111111
-0.1111111111x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
-0.1111111111x + x2 = -0.1111111111

The x term is -0.1111111111x.  Take half its coefficient (-0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
-0.1111111111x + 0.003086419752 + x2 = -0.1111111111 + 0.003086419752

Reorder the terms:
0.003086419752 + -0.1111111111x + x2 = -0.1111111111 + 0.003086419752

Combine like terms: -0.1111111111 + 0.003086419752 = -0.108024691348
0.003086419752 + -0.1111111111x + x2 = -0.108024691348

Factor a perfect square on the left side:
(x + -0.05555555555)(x + -0.05555555555) = -0.108024691348

Can't calculate square root of the right side.

The solution to this equation could not be determined.