2n^2+20-75=0

Solution for 2n^2+20-75=0 equation:

Simplifying
2n2 + 20 + -75 = 0

Reorder the terms:
20 + -75 + 2n2 = 0

Combine like terms: 20 + -75 = -55
-55 + 2n2 = 0

Solving
-55 + 2n2 = 0

Solving for variable 'n'.

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

Add '55' to each side of the equation.
-55 + 55 + 2n2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 2n2 = 0 + 55
2n2 = 0 + 55

Combine like terms: 0 + 55 = 55
2n2 = 55

Divide each side by '2'.
n2 = 27.5

Simplifying
n2 = 27.5

Take the square root of each side:
n = {-5.244044241, 5.244044241}