0.1n^2-20-5100=0

Solution for 0.1n^2-20-5100=0 equation:

Simplifying
0.1n2 + -20 + -5100 = 0

Reorder the terms:
-20 + -5100 + 0.1n2 = 0

Combine like terms: -20 + -5100 = -5120
-5120 + 0.1n2 = 0

Solving
-5120 + 0.1n2 = 0

Solving for variable 'n'.

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

Add '5120' to each side of the equation.
-5120 + 5120 + 0.1n2 = 0 + 5120

Combine like terms: -5120 + 5120 = 0
0 + 0.1n2 = 0 + 5120
0.1n2 = 0 + 5120

Combine like terms: 0 + 5120 = 5120
0.1n2 = 5120

Divide each side by '0.1'.
n2 = 51200

Simplifying
n2 = 51200

Take the square root of each side:
n = {-226.27416998, 226.27416998}