2n^2(5n+3)=

Solution for 2n^2(5n+3)= equation:

Simplifying
2n2(5n + 3) = 0

Reorder the terms:
2n2(3 + 5n) = 0
(3 * 2n2 + 5n * 2n2) = 0
(6n2 + 10n3) = 0

Solving
6n2 + 10n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n2'.
2n2(3 + 5n) = 0

Ignore the factor 2.
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 '(3 + 5n)' equal to zero and attempt to solve:

Simplifying
3 + 5n = 0

Solving
3 + 5n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = 0 + -3
5n = 0 + -3

Combine like terms: 0 + -3 = -3
5n = -3

Divide each side by '5'.
n = -0.6

Simplifying
n = -0.6
Solution
n = {0, -0.6}