6x^2=8x-3

Solution for 6x^2=8x-3 equation:

Simplifying
6x2 = 8x + -3

Reorder the terms:
6x2 = -3 + 8x

Solving
6x2 = -3 + 8x

Solving for variable 'x'.

Reorder the terms:
3 + -8x + 6x2 = -3 + 8x + 3 + -8x

Reorder the terms:
3 + -8x + 6x2 = -3 + 3 + 8x + -8x

Combine like terms: -3 + 3 = 0
3 + -8x + 6x2 = 0 + 8x + -8x
3 + -8x + 6x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -8x + 6x2 = 0

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

Divide each side by '6'.
0.5 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.333333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.333333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.333333333x + x2 = 0 + -0.5
-1.333333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.333333333x + x2 = -0.5

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -0.5 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -0.5 + 0.4444444442

Combine like terms: -0.5 + 0.4444444442 = -0.0555555558
0.4444444442 + -1.333333333x + x2 = -0.0555555558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.