8x^2=-9x-3

Solution for 8x^2=-9x-3 equation:

Simplifying
8x2 = -9x + -3

Reorder the terms:
8x2 = -3 + -9x

Solving
8x2 = -3 + -9x

Solving for variable 'x'.

Reorder the terms:
3 + 9x + 8x2 = -3 + -9x + 3 + 9x

Reorder the terms:
3 + 9x + 8x2 = -3 + 3 + -9x + 9x

Combine like terms: -3 + 3 = 0
3 + 9x + 8x2 = 0 + -9x + 9x
3 + 9x + 8x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
3 + 9x + 8x2 = 0

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

Divide each side by '8'.
0.375 + 1.125x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 1.125x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 1.125x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 1.125x + x2 = 0 + -0.375
1.125x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
1.125x + x2 = -0.375

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 = -0.375 + 0.31640625

Reorder the terms:
0.31640625 + 1.125x + x2 = -0.375 + 0.31640625

Combine like terms: -0.375 + 0.31640625 = -0.05859375
0.31640625 + 1.125x + x2 = -0.05859375

Factor a perfect square on the left side:
(x + 0.5625)(x + 0.5625) = -0.05859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.