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

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

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

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

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

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

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

Solving
0.6 + n2 = 0.1 + 2n2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n2' to each side of the equation.
0.6 + n2 + -2n2 = 0.1 + 2n2 + -2n2

Combine like terms: n2 + -2n2 = -1n2
0.6 + -1n2 = 0.1 + 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
0.6 + -1n2 = 0.1 + 0
0.6 + -1n2 = 0.1

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -1n2 = 0.1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1n2 = 0.1 + -0.6
-1n2 = 0.1 + -0.6

Combine like terms: 0.1 + -0.6 = -0.5
-1n2 = -0.5

Divide each side by '-1'.
n2 = 0.5

Simplifying
n2 = 0.5

Take the square root of each side:
n = {-0.707106781, 0.707106781}