8x^2=-5x-6

Solution for 8x^2=-5x-6 equation:

Simplifying
8x2 = -5x + -6

Reorder the terms:
8x2 = -6 + -5x

Solving
8x2 = -6 + -5x

Solving for variable 'x'.

Reorder the terms:
6 + 5x + 8x2 = -6 + -5x + 6 + 5x

Reorder the terms:
6 + 5x + 8x2 = -6 + 6 + -5x + 5x

Combine like terms: -6 + 6 = 0
6 + 5x + 8x2 = 0 + -5x + 5x
6 + 5x + 8x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 5x + 8x2 = 0

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

Divide each side by '8'.
0.75 + 0.625x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.625x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.625x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.625x + x2 = 0 + -0.75
0.625x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.625x + x2 = -0.75

The x term is 0.625x.  Take half its coefficient (0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
0.625x + 0.09765625 + x2 = -0.75 + 0.09765625

Reorder the terms:
0.09765625 + 0.625x + x2 = -0.75 + 0.09765625

Combine like terms: -0.75 + 0.09765625 = -0.65234375
0.09765625 + 0.625x + x2 = -0.65234375

Factor a perfect square on the left side:
(x + 0.3125)(x + 0.3125) = -0.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.