0=2n^2+20n-150

Solution for 0=2n^2+20n-150 equation:

Simplifying
0 = 2n2 + 20n + -150

Reorder the terms:
0 = -150 + 20n + 2n2

Solving
0 = -150 + 20n + 2n2

Solving for variable 'n'.

Combine like terms: 0 + 150 = 150
150 + -20n + -2n2 = -150 + 20n + 2n2 + 150 + -20n + -2n2

Reorder the terms:
150 + -20n + -2n2 = -150 + 150 + 20n + -20n + 2n2 + -2n2

Combine like terms: -150 + 150 = 0
150 + -20n + -2n2 = 0 + 20n + -20n + 2n2 + -2n2
150 + -20n + -2n2 = 20n + -20n + 2n2 + -2n2

Combine like terms: 20n + -20n = 0
150 + -20n + -2n2 = 0 + 2n2 + -2n2
150 + -20n + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
150 + -20n + -2n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + -10n + -1n2) = 0

Factor a trinomial.
2((5 + -1n)(15 + n)) = 0

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

Simplifying
5 + -1n = 0

Solving
5 + -1n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1n = 0 + -5

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

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

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Subproblem 2
Set the factor '(15 + n)' equal to zero and attempt to solve:

Simplifying
15 + n = 0

Solving
15 + n = 0

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

Add '-15' to each side of the equation.
15 + -15 + n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + n = 0 + -15
n = 0 + -15

Combine like terms: 0 + -15 = -15
n = -15

Simplifying
n = -15
Solution
n = {5, -15}