9x^2-8x+1=-x^2-2

Solution for 9x^2-8x+1=-x^2-2 equation:

Simplifying
9x2 + -8x + 1 = -1x2 + -2

Reorder the terms:
1 + -8x + 9x2 = -1x2 + -2

Reorder the terms:
1 + -8x + 9x2 = -2 + -1x2

Solving
1 + -8x + 9x2 = -2 + -1x2

Solving for variable 'x'.

Reorder the terms:
1 + 2 + -8x + 9x2 + x2 = -2 + -1x2 + 2 + x2

Combine like terms: 1 + 2 = 3
3 + -8x + 9x2 + x2 = -2 + -1x2 + 2 + x2

Combine like terms: 9x2 + x2 = 10x2
3 + -8x + 10x2 = -2 + -1x2 + 2 + x2

Reorder the terms:
3 + -8x + 10x2 = -2 + 2 + -1x2 + x2

Combine like terms: -2 + 2 = 0
3 + -8x + 10x2 = 0 + -1x2 + x2
3 + -8x + 10x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + -8x + 10x2 = 0

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

Divide each side by '10'.
0.3 + -0.8x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.8x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.8x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.8x + x2 = 0.0 + -0.3
-0.8x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
-0.8x + x2 = -0.3

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -0.3 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -0.3 + 0.16

Combine like terms: -0.3 + 0.16 = -0.14
0.16 + -0.8x + x2 = -0.14

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.14

Can't calculate square root of the right side.

The solution to this equation could not be determined.