9x-6+8x^2+13=

Solution for 9x-6+8x^2+13= equation:

Simplifying
9x + -6 + 8x2 + 13 = 0

Reorder the terms:
-6 + 13 + 9x + 8x2 = 0

Combine like terms: -6 + 13 = 7
7 + 9x + 8x2 = 0

Solving
7 + 9x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.875 + 1.125x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 1.125x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 1.125x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 1.125x + x2 = 0 + -0.875
1.125x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
1.125x + x2 = -0.875

The x term is 1.125x.  Take half its coefficient (0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
1.125x + 0.31640625 + x2 = -0.875 + 0.31640625

Reorder the terms:
0.31640625 + 1.125x + x2 = -0.875 + 0.31640625

Combine like terms: -0.875 + 0.31640625 = -0.55859375
0.31640625 + 1.125x + x2 = -0.55859375

Factor a perfect square on the left side:
(x + 0.5625)(x + 0.5625) = -0.55859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.