35k^2+57k+10=0

Solution for 35k^2+57k+10=0 equation:

Simplifying
35k2 + 57k + 10 = 0

Reorder the terms:
10 + 57k + 35k2 = 0

Solving
10 + 57k + 35k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(10 + 7k)(1 + 5k) = 0

Subproblem 1
Set the factor '(10 + 7k)' equal to zero and attempt to solve:

Simplifying
10 + 7k = 0

Solving
10 + 7k = 0

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

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

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

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

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

Simplifying
k = -1.428571429
Subproblem 2
Set the factor '(1 + 5k)' equal to zero and attempt to solve:

Simplifying
1 + 5k = 0

Solving
1 + 5k = 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 + 5k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5k = 0 + -1
5k = 0 + -1

Combine like terms: 0 + -1 = -1
5k = -1

Divide each side by '5'.
k = -0.2

Simplifying
k = -0.2
Solution
k = {-1.428571429, -0.2}