n*n+0.6=n+0.1*2n

Solution for n*n+0.6=n+0.1*2n equation:

Simplifying
n * n + 0.6 = n + 0.1 * 2n

Multiply n * n
n2 + 0.6 = n + 0.1 * 2n

Reorder the terms:
0.6 + n2 = n + 0.1 * 2n

Multiply 0.1 * 2
0.6 + n2 = n + 0.2n

Combine like terms: n + 0.2n = 1.2n
0.6 + n2 = 1.2n

Solving
0.6 + n2 = 1.2n

Solving for variable 'n'.

Reorder the terms:
0.6 + -1.2n + n2 = 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
0.6 + -1.2n + n2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.2n + -0.6 + n2 = 0.0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.2n + n2 = 0.0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.2n + n2 = 0.0 + -0.6
-1.2n + n2 = 0.0 + -0.6

Combine like terms: 0.0 + -0.6 = -0.6
-1.2n + n2 = -0.6

The n term is -1.2n.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2n + 0.36 + n2 = -0.6 + 0.36

Reorder the terms:
0.36 + -1.2n + n2 = -0.6 + 0.36

Combine like terms: -0.6 + 0.36 = -0.24
0.36 + -1.2n + n2 = -0.24

Factor a perfect square on the left side:
(n + -0.6)(n + -0.6) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.