8x^2=8x-3

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

Simplifying
8x2 = 8x + -3

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

Solving
8x2 = -3 + 8x

Solving for variable 'x'.

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

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

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

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

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

Divide each side by '8'.
0.375 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -1x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -1x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -1x + x2 = 0 + -0.375
-1x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-1x + x2 = -0.375

The x term is -1x.  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.
-1x + 0.25 + x2 = -0.375 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.375 + 0.25

Combine like terms: -0.375 + 0.25 = -0.125
0.25 + -1x + 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.