0=10a^2-11a+6

Solution for 0=10a^2-11a+6 equation:

Simplifying
0 = 10a2 + -11a + 6

Reorder the terms:
0 = 6 + -11a + 10a2

Solving
0 = 6 + -11a + 10a2

Solving for variable 'a'.

Combine like terms: 0 + -6 = -6
-6 + 11a + -10a2 = 6 + -11a + 10a2 + -6 + 11a + -10a2

Reorder the terms:
-6 + 11a + -10a2 = 6 + -6 + -11a + 11a + 10a2 + -10a2

Combine like terms: 6 + -6 = 0
-6 + 11a + -10a2 = 0 + -11a + 11a + 10a2 + -10a2
-6 + 11a + -10a2 = -11a + 11a + 10a2 + -10a2

Combine like terms: -11a + 11a = 0
-6 + 11a + -10a2 = 0 + 10a2 + -10a2
-6 + 11a + -10a2 = 10a2 + -10a2

Combine like terms: 10a2 + -10a2 = 0
-6 + 11a + -10a2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.6 + -1.1a + a2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.1a + -0.6 + a2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.1a + a2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.1a + a2 = 0 + -0.6
-1.1a + a2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-1.1a + a2 = -0.6

The a term is -1.1a.  Take half its coefficient (-0.55).
Square it (0.3025) and add it to both sides.

Add '0.3025' to each side of the equation.
-1.1a + 0.3025 + a2 = -0.6 + 0.3025

Reorder the terms:
0.3025 + -1.1a + a2 = -0.6 + 0.3025

Combine like terms: -0.6 + 0.3025 = -0.2975
0.3025 + -1.1a + a2 = -0.2975

Factor a perfect square on the left side:
(a + -0.55)(a + -0.55) = -0.2975

Can't calculate square root of the right side.

The solution to this equation could not be determined.