6a^2-7a+18=

Solution for 6a^2-7a+18= equation:

Simplifying
6a2 + -7a + 18 = 0

Reorder the terms:
18 + -7a + 6a2 = 0

Solving
18 + -7a + 6a2 = 0

Solving for variable 'a'.

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

Divide each side by '6'.
3 + -1.166666667a + a2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.166666667a + -3 + a2 = 0 + -3

Reorder the terms:
3 + -3 + -1.166666667a + a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.166666667a + a2 = 0 + -3
-1.166666667a + a2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.166666667a + a2 = -3

The a term is -1.166666667a.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667a + 0.3402777780 + a2 = -3 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667a + a2 = -3 + 0.3402777780

Combine like terms: -3 + 0.3402777780 = -2.659722222
0.3402777780 + -1.166666667a + a2 = -2.659722222

Factor a perfect square on the left side:
(a + -0.5833333335)(a + -0.5833333335) = -2.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.