0=3k^2+2k-40

Solution for 0=3k^2+2k-40 equation:

Simplifying
0 = 3k2 + 2k + -40

Reorder the terms:
0 = -40 + 2k + 3k2

Solving
0 = -40 + 2k + 3k2

Solving for variable 'k'.

Combine like terms: 0 + 40 = 40
40 + -2k + -3k2 = -40 + 2k + 3k2 + 40 + -2k + -3k2

Reorder the terms:
40 + -2k + -3k2 = -40 + 40 + 2k + -2k + 3k2 + -3k2

Combine like terms: -40 + 40 = 0
40 + -2k + -3k2 = 0 + 2k + -2k + 3k2 + -3k2
40 + -2k + -3k2 = 2k + -2k + 3k2 + -3k2

Combine like terms: 2k + -2k = 0
40 + -2k + -3k2 = 0 + 3k2 + -3k2
40 + -2k + -3k2 = 3k2 + -3k2

Combine like terms: 3k2 + -3k2 = 0
40 + -2k + -3k2 = 0

Factor a trinomial.
(10 + -3k)(4 + k) = 0

Subproblem 1
Set the factor '(10 + -3k)' equal to zero and attempt to solve:

Simplifying
10 + -3k = 0

Solving
10 + -3k = 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 + -3k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = 0 + -10
-3k = 0 + -10

Combine like terms: 0 + -10 = -10
-3k = -10

Divide each side by '-3'.
k = 3.333333333

Simplifying
k = 3.333333333
Subproblem 2
Set the factor '(4 + k)' equal to zero and attempt to solve:

Simplifying
4 + k = 0

Solving
4 + k = 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 + k = 0 + -4

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

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

Simplifying
k = -4
Solution
k = {3.333333333, -4}