6a^2=-7a-6

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

Simplifying
6a2 = -7a + -6

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

Solving
6a2 = -6 + -7a

Solving for variable 'a'.

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

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

Combine like terms: -6 + 6 = 0
6 + 7a + 6a2 = 0 + -7a + 7a
6 + 7a + 6a2 = -7a + 7a

Combine like terms: -7a + 7a = 0
6 + 7a + 6a2 = 0

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

Divide each side by '6'.
1 + 1.166666667a + a2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.166666667a + -1 + a2 = 0 + -1

Reorder the terms:
1 + -1 + 1.166666667a + a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.166666667a + a2 = 0 + -1
1.166666667a + a2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.166666667a + a2 = -1

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 = -1 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667a + a2 = -1 + 0.3402777780

Combine like terms: -1 + 0.3402777780 = -0.659722222
0.3402777780 + 1.166666667a + a2 = -0.659722222

Factor a perfect square on the left side:
(a + 0.5833333335)(a + 0.5833333335) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.