5n(2n-3)=

Solution for 5n(2n-3)= equation:

Simplifying
5n(2n + -3) = 0

Reorder the terms:
5n(-3 + 2n) = 0
(-3 * 5n + 2n * 5n) = 0
(-15n + 10n2) = 0

Solving
-15n + 10n2 = 0

Solving for variable 'n'.

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

Ignore the factor 5.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-3 + 2n)' equal to zero and attempt to solve:

Simplifying
-3 + 2n = 0

Solving
-3 + 2n = 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 + 2n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2n = 0 + 3
2n = 0 + 3

Combine like terms: 0 + 3 = 3
2n = 3

Divide each side by '2'.
n = 1.5

Simplifying
n = 1.5
Solution
n = {0, 1.5}