10n^2-2n-36=

Solution for 10n^2-2n-36= equation:

Simplifying
10n2 + -2n + -36 = 0

Reorder the terms:
-36 + -2n + 10n2 = 0

Solving
-36 + -2n + 10n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -1n + 5n2) = 0

Factor a trinomial.
2((-9 + -5n)(2 + -1n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-9 + -5n)' equal to zero and attempt to solve:

Simplifying
-9 + -5n = 0

Solving
-9 + -5n = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5n = 0 + 9
-5n = 0 + 9

Combine like terms: 0 + 9 = 9
-5n = 9

Divide each side by '-5'.
n = -1.8

Simplifying
n = -1.8
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

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

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

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-1.8, 2}