8n^2+4n=12n

Solution for 8n^2+4n=12n equation:

Simplifying
8n2 + 4n = 12n

Reorder the terms:
4n + 8n2 = 12n

Solving
4n + 8n2 = 12n

Solving for variable 'n'.

Reorder the terms:
4n + -12n + 8n2 = 12n + -12n

Combine like terms: 4n + -12n = -8n
-8n + 8n2 = 12n + -12n

Combine like terms: 12n + -12n = 0
-8n + 8n2 = 0

Factor out the Greatest Common Factor (GCF), '8n'.
8n(-1 + n) = 0

Ignore the factor 8.
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 '(-1 + n)' equal to zero and attempt to solve:

Simplifying
-1 + n = 0

Solving
-1 + n = 0

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

Add '1' to each side of the equation.
-1 + 1 + n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + n = 0 + 1
n = 0 + 1

Combine like terms: 0 + 1 = 1
n = 1

Simplifying
n = 1
Solution
n = {0, 1}