7n^2+7n-427n=0

Solution for 7n^2+7n-427n=0 equation:

Simplifying
7n2 + 7n + -427n = 0

Reorder the terms:
7n + -427n + 7n2 = 0

Combine like terms: 7n + -427n = -420n
-420n + 7n2 = 0

Solving
-420n + 7n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7n'.
7n(-60 + n) = 0

Ignore the factor 7.
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 '(-60 + n)' equal to zero and attempt to solve:

Simplifying
-60 + n = 0

Solving
-60 + n = 0

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

Add '60' to each side of the equation.
-60 + 60 + n = 0 + 60

Combine like terms: -60 + 60 = 0
0 + n = 0 + 60
n = 0 + 60

Combine like terms: 0 + 60 = 60
n = 60

Simplifying
n = 60
Solution
n = {0, 60}