6x^2-12x+11=0

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Solution for 6x^2-12x+11=0 equation:


Simplifying
6x2 + -12x + 11 = 0

Reorder the terms:
11 + -12x + 6x2 = 0

Solving
11 + -12x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.833333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -2x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -2x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.833333333
-2x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-2x + x2 = -1.833333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.833333333 + 1

Reorder the terms:
1 + -2x + x2 = -1.833333333 + 1

Combine like terms: -1.833333333 + 1 = -0.833333333
1 + -2x + x2 = -0.833333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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