5k^2-32k-21=0

Solution for 5k^2-32k-21=0 equation:

Simplifying
5k2 + -32k + -21 = 0

Reorder the terms:
-21 + -32k + 5k2 = 0

Solving
-21 + -32k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -5k)(7 + -1k) = 0

Subproblem 1
Set the factor '(-3 + -5k)' equal to zero and attempt to solve:

Simplifying
-3 + -5k = 0

Solving
-3 + -5k = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5k = 0 + 3
-5k = 0 + 3

Combine like terms: 0 + 3 = 3
-5k = 3

Divide each side by '-5'.
k = -0.6

Simplifying
k = -0.6
Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 0

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

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

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

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

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {-0.6, 7}