52k^2+97k+40=

Solution for 52k^2+97k+40= equation:

Simplifying
52k2 + 97k + 40 = 0

Reorder the terms:
40 + 97k + 52k2 = 0

Solving
40 + 97k + 52k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(5 + 4k)(8 + 13k) = 0

Subproblem 1
Set the factor '(5 + 4k)' equal to zero and attempt to solve:

Simplifying
5 + 4k = 0

Solving
5 + 4k = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4k = 0 + -5
4k = 0 + -5

Combine like terms: 0 + -5 = -5
4k = -5

Divide each side by '4'.
k = -1.25

Simplifying
k = -1.25
Subproblem 2
Set the factor '(8 + 13k)' equal to zero and attempt to solve:

Simplifying
8 + 13k = 0

Solving
8 + 13k = 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 + 13k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 13k = 0 + -8
13k = 0 + -8

Combine like terms: 0 + -8 = -8
13k = -8

Divide each side by '13'.
k = -0.6153846154

Simplifying
k = -0.6153846154
Solution
k = {-1.25, -0.6153846154}