-2=6n-20n^2

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

Simplifying
-2 = 6n + -20n2

Solving
-2 = 6n + -20n2

Solving for variable 'n'.

Reorder the terms:
-2 + -6n + 20n2 = 6n + -6n + -20n2 + 20n2

Combine like terms: 6n + -6n = 0
-2 + -6n + 20n2 = 0 + -20n2 + 20n2
-2 + -6n + 20n2 = -20n2 + 20n2

Combine like terms: -20n2 + 20n2 = 0
-2 + -6n + 20n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3n + 10n2) = 0

Factor a trinomial.
2((-1 + -5n)(1 + -2n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -5n)' equal to zero and attempt to solve:

Simplifying
-1 + -5n = 0

Solving
-1 + -5n = 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 + -5n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5n = 0 + 1
-5n = 0 + 1

Combine like terms: 0 + 1 = 1
-5n = 1

Divide each side by '-5'.
n = -0.2

Simplifying
n = -0.2
Subproblem 2
Set the factor '(1 + -2n)' equal to zero and attempt to solve:

Simplifying
1 + -2n = 0

Solving
1 + -2n = 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 + -2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 0 + -1
-2n = 0 + -1

Combine like terms: 0 + -1 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5
Solution
n = {-0.2, 0.5}