7n^2=54n

Solution for 7n^2=54n equation:

Simplifying
7n2 = 54n

Solving
7n2 = 54n

Solving for variable 'n'.

Reorder the terms:
-54n + 7n2 = 54n + -54n

Combine like terms: 54n + -54n = 0
-54n + 7n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-54 + 7n) = 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 '(-54 + 7n)' equal to zero and attempt to solve:

Simplifying
-54 + 7n = 0

Solving
-54 + 7n = 0

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

Add '54' to each side of the equation.
-54 + 54 + 7n = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 7n = 0 + 54
7n = 0 + 54

Combine like terms: 0 + 54 = 54
7n = 54

Divide each side by '7'.
n = 7.714285714

Simplifying
n = 7.714285714
Solution
n = {0, 7.714285714}