(5n^2-5)-(5-4n^2)=

Solution for (5n^2-5)-(5-4n^2)= equation:

Simplifying
(5n2 + -5) + -1(5 + -4n2) = 0

Reorder the terms:
(-5 + 5n2) + -1(5 + -4n2) = 0

Remove parenthesis around (-5 + 5n2)
-5 + 5n2 + -1(5 + -4n2) = 0
-5 + 5n2 + (5 * -1 + -4n2 * -1) = 0
-5 + 5n2 + (-5 + 4n2) = 0

Reorder the terms:
-5 + -5 + 5n2 + 4n2 = 0

Combine like terms: -5 + -5 = -10
-10 + 5n2 + 4n2 = 0

Combine like terms: 5n2 + 4n2 = 9n2
-10 + 9n2 = 0

Solving
-10 + 9n2 = 0

Solving for variable 'n'.

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

Add '10' to each side of the equation.
-10 + 10 + 9n2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 9n2 = 0 + 10
9n2 = 0 + 10

Combine like terms: 0 + 10 = 10
9n2 = 10

Divide each side by '9'.
n2 = 1.111111111

Simplifying
n2 = 1.111111111

Take the square root of each side:
n = {-1.054092553, 1.054092553}