n(n+.6)=2n(n+.1)

Solution for n(n+.6)=2n(n+.1) equation:

Simplifying
n(n + 0.6) = 2n(n + 0.1)

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

Reorder the terms:
0.6n + n2 = 2n(0.1 + n)
0.6n + n2 = (0.1 * 2n + n * 2n)
0.6n + n2 = (0.2n + 2n2)

Solving
0.6n + n2 = 0.2n + 2n2

Solving for variable 'n'.

Reorder the terms:
0.6n + -0.2n + n2 + -2n2 = 0.2n + 2n2 + -0.2n + -2n2

Combine like terms: 0.6n + -0.2n = 0.4n
0.4n + n2 + -2n2 = 0.2n + 2n2 + -0.2n + -2n2

Combine like terms: n2 + -2n2 = -1n2
0.4n + -1n2 = 0.2n + 2n2 + -0.2n + -2n2

Reorder the terms:
0.4n + -1n2 = 0.2n + -0.2n + 2n2 + -2n2

Combine like terms: 0.2n + -0.2n = 0.0
0.4n + -1n2 = 0.0 + 2n2 + -2n2
0.4n + -1n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
0.4n + -1n2 = 0

The solution to this equation could not be determined.