14n^2-6n-20=

Solution for 14n^2-6n-20= equation:

Simplifying
14n2 + -6n + -20 = 0

Reorder the terms:
-20 + -6n + 14n2 = 0

Solving
-20 + -6n + 14n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -3n + 7n2) = 0

Factor a trinomial.
2((-1 + -1n)(10 + -7n)) = 0

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

Simplifying
-1 + -1n = 0

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

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

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

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

Simplifying
n = -1
Subproblem 2
Set the factor '(10 + -7n)' equal to zero and attempt to solve:

Simplifying
10 + -7n = 0

Solving
10 + -7n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7n = 0 + -10
-7n = 0 + -10

Combine like terms: 0 + -10 = -10
-7n = -10

Divide each side by '-7'.
n = 1.428571429

Simplifying
n = 1.428571429
Solution
n = {-1, 1.428571429}