35n^2-20n+6=6

Solution for 35n^2-20n+6=6 equation:

Simplifying
35n2 + -20n + 6 = 6

Reorder the terms:
6 + -20n + 35n2 = 6

Add '-6' to each side of the equation.
6 + -20n + -6 + 35n2 = 6 + -6

Reorder the terms:
6 + -6 + -20n + 35n2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -20n + 35n2 = 6 + -6
-20n + 35n2 = 6 + -6

Combine like terms: 6 + -6 = 0
-20n + 35n2 = 0

Solving
-20n + 35n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-4 + 7n) = 0

Ignore the factor 5.
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 '(-4 + 7n)' equal to zero and attempt to solve:

Simplifying
-4 + 7n = 0

Solving
-4 + 7n = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7n = 0 + 4
7n = 0 + 4

Combine like terms: 0 + 4 = 4
7n = 4

Divide each side by '7'.
n = 0.5714285714

Simplifying
n = 0.5714285714
Solution
n = {0, 0.5714285714}