5n^2(4n+4)=

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

Simplifying
5n2(4n + 4) = 0

Reorder the terms:
5n2(4 + 4n) = 0
(4 * 5n2 + 4n * 5n2) = 0
(20n2 + 20n3) = 0

Solving
20n2 + 20n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '20n2'.
20n2(1 + n) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

Add '-1' to each side of the equation.
1 + -1 + n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n = 0 + -1
n = 0 + -1

Combine like terms: 0 + -1 = -1
n = -1

Simplifying
n = -1
Solution
n = {0, -1}