3x^2-11.1x+85.8=0

Solution for 3x^2-11.1x+85.8=0 equation:

Simplifying
3x2 + -11.1x + 85.8 = 0

Reorder the terms:
85.8 + -11.1x + 3x2 = 0

Solving
85.8 + -11.1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
28.6 + -3.7x + x2 = 0

Move the constant term to the right:

Add '-28.6' to each side of the equation.
28.6 + -3.7x + -28.6 + x2 = 0 + -28.6

Reorder the terms:
28.6 + -28.6 + -3.7x + x2 = 0 + -28.6

Combine like terms: 28.6 + -28.6 = 0.0
0.0 + -3.7x + x2 = 0 + -28.6
-3.7x + x2 = 0 + -28.6

Combine like terms: 0 + -28.6 = -28.6
-3.7x + x2 = -28.6

The x term is -3.7x.  Take half its coefficient (-1.85).
Square it (3.4225) and add it to both sides.

Add '3.4225' to each side of the equation.
-3.7x + 3.4225 + x2 = -28.6 + 3.4225

Reorder the terms:
3.4225 + -3.7x + x2 = -28.6 + 3.4225

Combine like terms: -28.6 + 3.4225 = -25.1775
3.4225 + -3.7x + x2 = -25.1775

Factor a perfect square on the left side:
(x + -1.85)(x + -1.85) = -25.1775

Can't calculate square root of the right side.

The solution to this equation could not be determined.