3k^2-10k=-8

Solution for 3k^2-10k=-8 equation:

Simplifying
3k2 + -10k = -8

Reorder the terms:
-10k + 3k2 = -8

Solving
-10k + 3k2 = -8

Solving for variable 'k'.

Reorder the terms:
8 + -10k + 3k2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -10k + 3k2 = 0

Factor a trinomial.
(4 + -3k)(2 + -1k) = 0

Subproblem 1
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 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 + -3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 0 + -4
-3k = 0 + -4

Combine like terms: 0 + -4 = -4
-3k = -4

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {1.333333333, 2}