24n^2-152-64=4n^2

Solution for 24n^2-152-64=4n^2 equation:

Simplifying
24n2 + -152 + -64 = 4n2

Reorder the terms:
-152 + -64 + 24n2 = 4n2

Combine like terms: -152 + -64 = -216
-216 + 24n2 = 4n2

Solving
-216 + 24n2 = 4n2

Solving for variable 'n'.

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

Add '-4n2' to each side of the equation.
-216 + 24n2 + -4n2 = 4n2 + -4n2

Combine like terms: 24n2 + -4n2 = 20n2
-216 + 20n2 = 4n2 + -4n2

Combine like terms: 4n2 + -4n2 = 0
-216 + 20n2 = 0

Add '216' to each side of the equation.
-216 + 216 + 20n2 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + 20n2 = 0 + 216
20n2 = 0 + 216

Combine like terms: 0 + 216 = 216
20n2 = 216

Divide each side by '20'.
n2 = 10.8

Simplifying
n2 = 10.8

Take the square root of each side:
n = {-3.286335345, 3.286335345}