3(6n+2)2n=-17-3n

Solution for 3(6n+2)2n=-17-3n equation:

Simplifying
3(6n + 2) * 2n = -17 + -3n

Reorder the terms:
3(2 + 6n) * 2n = -17 + -3n

Reorder the terms for easier multiplication:
3 * 2n(2 + 6n) = -17 + -3n

Multiply 3 * 2
6n(2 + 6n) = -17 + -3n
(2 * 6n + 6n * 6n) = -17 + -3n
(12n + 36n2) = -17 + -3n

Solving
12n + 36n2 = -17 + -3n

Solving for variable 'n'.

Reorder the terms:
17 + 12n + 3n + 36n2 = -17 + -3n + 17 + 3n

Combine like terms: 12n + 3n = 15n
17 + 15n + 36n2 = -17 + -3n + 17 + 3n

Reorder the terms:
17 + 15n + 36n2 = -17 + 17 + -3n + 3n

Combine like terms: -17 + 17 = 0
17 + 15n + 36n2 = 0 + -3n + 3n
17 + 15n + 36n2 = -3n + 3n

Combine like terms: -3n + 3n = 0
17 + 15n + 36n2 = 0

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

Divide each side by '36'.
0.4722222222 + 0.4166666667n + n2 = 0

Move the constant term to the right:

Add '-0.4722222222' to each side of the equation.
0.4722222222 + 0.4166666667n + -0.4722222222 + n2 = 0 + -0.4722222222

Reorder the terms:
0.4722222222 + -0.4722222222 + 0.4166666667n + n2 = 0 + -0.4722222222

Combine like terms: 0.4722222222 + -0.4722222222 = 0.0000000000
0.0000000000 + 0.4166666667n + n2 = 0 + -0.4722222222
0.4166666667n + n2 = 0 + -0.4722222222

Combine like terms: 0 + -0.4722222222 = -0.4722222222
0.4166666667n + n2 = -0.4722222222

The n term is 0.4166666667n.  Take half its coefficient (0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
0.4166666667n + 0.04340277781 + n2 = -0.4722222222 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667n + n2 = -0.4722222222 + 0.04340277781

Combine like terms: -0.4722222222 + 0.04340277781 = -0.42881944439
0.04340277781 + 0.4166666667n + n2 = -0.42881944439

Factor a perfect square on the left side:
(n + 0.2083333334)(n + 0.2083333334) = -0.42881944439

Can't calculate square root of the right side.

The solution to this equation could not be determined.