-8x^2=3+x

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

Simplifying
-8x2 = 3 + x

Solving
-8x2 = 3 + x

Solving for variable 'x'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + x + 8x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + x + 8x2)' equal to zero and attempt to solve:

Simplifying
3 + x + 8x2 = 0

Solving
3 + x + 8x2 = 0

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

Divide each side by '8'.
0.375 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.125x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.125x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.125x + x2 = 0 + -0.375
0.125x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.125x + x2 = -0.375

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.125x + 0.25 + x2 = -0.375 + 0.25

Reorder the terms:
0.25 + 0.125x + x2 = -0.375 + 0.25

Combine like terms: -0.375 + 0.25 = -0.125
0.25 + 0.125x + x2 = -0.125

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.