35k^2-36k-32=0

Solution for 35k^2-36k-32=0 equation:

Simplifying
35k2 + -36k + -32 = 0

Reorder the terms:
-32 + -36k + 35k2 = 0

Solving
-32 + -36k + 35k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-4 + -7k)(8 + -5k) = 0

Subproblem 1
Set the factor '(-4 + -7k)' equal to zero and attempt to solve:

Simplifying
-4 + -7k = 0

Solving
-4 + -7k = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7k = 0 + 4
-7k = 0 + 4

Combine like terms: 0 + 4 = 4
-7k = 4

Divide each side by '-7'.
k = -0.5714285714

Simplifying
k = -0.5714285714
Subproblem 2
Set the factor '(8 + -5k)' equal to zero and attempt to solve:

Simplifying
8 + -5k = 0

Solving
8 + -5k = 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 + -5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5k = 0 + -8
-5k = 0 + -8

Combine like terms: 0 + -8 = -8
-5k = -8

Divide each side by '-5'.
k = 1.6

Simplifying
k = 1.6
Solution
k = {-0.5714285714, 1.6}