7n^2-2n=n

Solution for 7n^2-2n=n equation:

Simplifying
7n2 + -2n = n

Reorder the terms:
-2n + 7n2 = n

Solving
-2n + 7n2 = n

Solving for variable 'n'.

Reorder the terms:
-2n + -1n + 7n2 = n + -1n

Combine like terms: -2n + -1n = -3n
-3n + 7n2 = n + -1n

Combine like terms: n + -1n = 0
-3n + 7n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + 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 '(-3 + 7n)' equal to zero and attempt to solve:

Simplifying
-3 + 7n = 0

Solving
-3 + 7n = 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 + 7n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7n = 0 + 3
7n = 0 + 3

Combine like terms: 0 + 3 = 3
7n = 3

Divide each side by '7'.
n = 0.4285714286

Simplifying
n = 0.4285714286
Solution
n = {0, 0.4285714286}