7k^2+57k+13=5

Solution for 7k^2+57k+13=5 equation:

Simplifying
7k2 + 57k + 13 = 5

Reorder the terms:
13 + 57k + 7k2 = 5

Solving
13 + 57k + 7k2 = 5

Solving for variable 'k'.

Reorder the terms:
13 + -5 + 57k + 7k2 = 5 + -5

Combine like terms: 13 + -5 = 8
8 + 57k + 7k2 = 5 + -5

Combine like terms: 5 + -5 = 0
8 + 57k + 7k2 = 0

Factor a trinomial.
(8 + k)(1 + 7k) = 0

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

Simplifying
8 + k = 0

Solving
8 + k = 0

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

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

Combine like terms: 8 + -8 = 0
0 + k = 0 + -8
k = 0 + -8

Combine like terms: 0 + -8 = -8
k = -8

Simplifying
k = -8
Subproblem 2
Set the factor '(1 + 7k)' equal to zero and attempt to solve:

Simplifying
1 + 7k = 0

Solving
1 + 7k = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7k = 0 + -1
7k = 0 + -1

Combine like terms: 0 + -1 = -1
7k = -1

Divide each side by '7'.
k = -0.1428571429

Simplifying
k = -0.1428571429
Solution
k = {-8, -0.1428571429}