15n^2+19+6=10+2n

Solution for 15n^2+19+6=10+2n equation:

Simplifying
15n2 + 19 + 6 = 10 + 2n

Reorder the terms:
19 + 6 + 15n2 = 10 + 2n

Combine like terms: 19 + 6 = 25
25 + 15n2 = 10 + 2n

Solving
25 + 15n2 = 10 + 2n

Solving for variable 'n'.

Reorder the terms:
25 + -10 + -2n + 15n2 = 10 + 2n + -10 + -2n

Combine like terms: 25 + -10 = 15
15 + -2n + 15n2 = 10 + 2n + -10 + -2n

Reorder the terms:
15 + -2n + 15n2 = 10 + -10 + 2n + -2n

Combine like terms: 10 + -10 = 0
15 + -2n + 15n2 = 0 + 2n + -2n
15 + -2n + 15n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
15 + -2n + 15n2 = 0

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

Divide each side by '15'.
1 + -0.1333333333n + n2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.1333333333n + -1 + n2 = 0 + -1

Reorder the terms:
1 + -1 + -0.1333333333n + n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1333333333n + n2 = 0 + -1
-0.1333333333n + n2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.1333333333n + n2 = -1

The n term is -0.1333333333n.  Take half its coefficient (-0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
-0.1333333333n + 0.004444444442 + n2 = -1 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333n + n2 = -1 + 0.004444444442

Combine like terms: -1 + 0.004444444442 = -0.995555555558
0.004444444442 + -0.1333333333n + n2 = -0.995555555558

Factor a perfect square on the left side:
(n + -0.06666666665)(n + -0.06666666665) = -0.995555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.