5n^2+29n-14=-8

Solution for 5n^2+29n-14=-8 equation:

Simplifying
5n2 + 29n + -14 = -8

Reorder the terms:
-14 + 29n + 5n2 = -8

Solving
-14 + 29n + 5n2 = -8

Solving for variable 'n'.

Reorder the terms:
-14 + 8 + 29n + 5n2 = -8 + 8

Combine like terms: -14 + 8 = -6
-6 + 29n + 5n2 = -8 + 8

Combine like terms: -8 + 8 = 0
-6 + 29n + 5n2 = 0

Factor a trinomial.
(-6 + -1n)(1 + -5n) = 0

Subproblem 1
Set the factor '(-6 + -1n)' equal to zero and attempt to solve:

Simplifying
-6 + -1n = 0

Solving
-6 + -1n = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = 0 + 6
-1n = 0 + 6

Combine like terms: 0 + 6 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6
Subproblem 2
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
Solution
n = {-6, 0.2}