3(n)=4n^2

Solution for 3(n)=4n^2 equation:

Simplifying
3(n) = 4n2

Solving
3n = 4n2

Solving for variable 'n'.

Combine like terms: 4n2 + -4n2 = 0
3n + -4n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + -4n) = 0

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 + -4n)' equal to zero and attempt to solve:

Simplifying
3 + -4n = 0

Solving
3 + -4n = 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 + -4n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = 0 + -3
-4n = 0 + -3

Combine like terms: 0 + -3 = -3
-4n = -3

Divide each side by '-4'.
n = 0.75

Simplifying
n = 0.75
Solution
n = {0, 0.75}