8x^2+2x=x-6

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

Simplifying
8x2 + 2x = x + -6

Reorder the terms:
2x + 8x2 = x + -6

Reorder the terms:
2x + 8x2 = -6 + x

Solving
2x + 8x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
6 + 2x + -1x + 8x2 = -6 + x + 6 + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x + 8x2 = -6 + x + 6 + -1x

Reorder the terms:
6 + 1x + 8x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
6 + 1x + 8x2 = 0 + x + -1x
6 + 1x + 8x2 = x + -1x

Combine like terms: x + -1x = 0
6 + 1x + 8x2 = 0

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

Divide each side by '8'.
0.75 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.125x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.125x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.125x + x2 = 0 + -0.75
0.125x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.125x + x2 = -0.75

The x term is 0.125x.  Take half its coefficient (0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
0.125x + 0.00390625 + x2 = -0.75 + 0.00390625

Reorder the terms:
0.00390625 + 0.125x + x2 = -0.75 + 0.00390625

Combine like terms: -0.75 + 0.00390625 = -0.74609375
0.00390625 + 0.125x + x2 = -0.74609375

Factor a perfect square on the left side:
(x + 0.0625)(x + 0.0625) = -0.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.