3.1x^2=3.1x-4.3

Solution for 3.1x^2=3.1x-4.3 equation:

Simplifying
3.1x2 = 3.1x + -4.3

Reorder the terms:
3.1x2 = -4.3 + 3.1x

Solving
3.1x2 = -4.3 + 3.1x

Solving for variable 'x'.

Reorder the terms:
4.3 + -3.1x + 3.1x2 = -4.3 + 3.1x + 4.3 + -3.1x

Reorder the terms:
4.3 + -3.1x + 3.1x2 = -4.3 + 4.3 + 3.1x + -3.1x

Combine like terms: -4.3 + 4.3 = 0.0
4.3 + -3.1x + 3.1x2 = 0.0 + 3.1x + -3.1x
4.3 + -3.1x + 3.1x2 = 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
4.3 + -3.1x + 3.1x2 = 0.0

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

Divide each side by '3.1'.
1.387096774 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.387096774' to each side of the equation.
1.387096774 + -1x + -1.387096774 + x2 = 0 + -1.387096774

Reorder the terms:
1.387096774 + -1.387096774 + -1x + x2 = 0 + -1.387096774

Combine like terms: 1.387096774 + -1.387096774 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.387096774
-1x + x2 = 0 + -1.387096774

Combine like terms: 0 + -1.387096774 = -1.387096774
-1x + x2 = -1.387096774

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 = -1.387096774 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.387096774 + 0.25

Combine like terms: -1.387096774 + 0.25 = -1.137096774
0.25 + -1x + x2 = -1.137096774

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.137096774

Can't calculate square root of the right side.

The solution to this equation could not be determined.