2n^2-n-141=-5

Solution for 2n^2-n-141=-5 equation:

Simplifying
2n2 + -1n + -141 = -5

Reorder the terms:
-141 + -1n + 2n2 = -5

Solving
-141 + -1n + 2n2 = -5

Solving for variable 'n'.

Reorder the terms:
-141 + 5 + -1n + 2n2 = -5 + 5

Combine like terms: -141 + 5 = -136
-136 + -1n + 2n2 = -5 + 5

Combine like terms: -5 + 5 = 0
-136 + -1n + 2n2 = 0

Factor a trinomial.
(-8 + -1n)(17 + -2n) = 0

Subproblem 1
Set the factor '(-8 + -1n)' equal to zero and attempt to solve:

Simplifying
-8 + -1n = 0

Solving
-8 + -1n = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1n = 0 + 8
-1n = 0 + 8

Combine like terms: 0 + 8 = 8
-1n = 8

Divide each side by '-1'.
n = -8

Simplifying
n = -8
Subproblem 2
Set the factor '(17 + -2n)' equal to zero and attempt to solve:

Simplifying
17 + -2n = 0

Solving
17 + -2n = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2n = 0 + -17
-2n = 0 + -17

Combine like terms: 0 + -17 = -17
-2n = -17

Divide each side by '-2'.
n = 8.5

Simplifying
n = 8.5
Solution
n = {-8, 8.5}