6n^2=7n-3

Solution for 6n^2=7n-3 equation:

Simplifying
6n2 = 7n + -3

Reorder the terms:
6n2 = -3 + 7n

Solving
6n2 = -3 + 7n

Solving for variable 'n'.

Reorder the terms:
3 + -7n + 6n2 = -3 + 7n + 3 + -7n

Reorder the terms:
3 + -7n + 6n2 = -3 + 3 + 7n + -7n

Combine like terms: -3 + 3 = 0
3 + -7n + 6n2 = 0 + 7n + -7n
3 + -7n + 6n2 = 7n + -7n

Combine like terms: 7n + -7n = 0
3 + -7n + 6n2 = 0

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

Divide each side by '6'.
0.5 + -1.166666667n + n2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.166666667n + -0.5 + n2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.166666667n + n2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.166666667n + n2 = 0 + -0.5
-1.166666667n + n2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.166666667n + n2 = -0.5

The n term is -1.166666667n.  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.
-1.166666667n + 0.3402777780 + n2 = -0.5 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667n + n2 = -0.5 + 0.3402777780

Combine like terms: -0.5 + 0.3402777780 = -0.159722222
0.3402777780 + -1.166666667n + n2 = -0.159722222

Factor a perfect square on the left side:
(n + -0.5833333335)(n + -0.5833333335) = -0.159722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.