8n^2=21n

Solution for 8n^2=21n equation:

Simplifying
8n2 = 21n

Solving
8n2 = 21n

Solving for variable 'n'.

Reorder the terms:
-21n + 8n2 = 21n + -21n

Combine like terms: 21n + -21n = 0
-21n + 8n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-21 + 8n) = 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 '(-21 + 8n)' equal to zero and attempt to solve:

Simplifying
-21 + 8n = 0

Solving
-21 + 8n = 0

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

Add '21' to each side of the equation.
-21 + 21 + 8n = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 8n = 0 + 21
8n = 0 + 21

Combine like terms: 0 + 21 = 21
8n = 21

Divide each side by '8'.
n = 2.625

Simplifying
n = 2.625
Solution
n = {0, 2.625}