n^2(4n-3)=

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

Simplifying
n2(4n + -3) = 0

Reorder the terms:
n2(-3 + 4n) = 0
(-3 * n2 + 4n * n2) = 0
(-3n2 + 4n3) = 0

Solving
-3n2 + 4n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(-3 + 4n) = 0

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 + 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}