5n^2-69=-5+4n^2

Solution for 5n^2-69=-5+4n^2 equation:

Simplifying
5n2 + -69 = -5 + 4n2

Reorder the terms:
-69 + 5n2 = -5 + 4n2

Solving
-69 + 5n2 = -5 + 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.
-69 + 5n2 + -4n2 = -5 + 4n2 + -4n2

Combine like terms: 5n2 + -4n2 = 1n2
-69 + 1n2 = -5 + 4n2 + -4n2

Combine like terms: 4n2 + -4n2 = 0
-69 + 1n2 = -5 + 0
-69 + 1n2 = -5

Add '69' to each side of the equation.
-69 + 69 + 1n2 = -5 + 69

Combine like terms: -69 + 69 = 0
0 + 1n2 = -5 + 69
1n2 = -5 + 69

Combine like terms: -5 + 69 = 64
1n2 = 64

Divide each side by '1'.
n2 = 64

Simplifying
n2 = 64

Take the square root of each side:
n = {-8, 8}