25k^2-30k=-8

Solution for 25k^2-30k=-8 equation:

Simplifying
25k2 + -30k = -8

Reorder the terms:
-30k + 25k2 = -8

Solving
-30k + 25k2 = -8

Solving for variable 'k'.

Reorder the terms:
8 + -30k + 25k2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -30k + 25k2 = 0

Factor a trinomial.
(2 + -5k)(4 + -5k) = 0

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

Simplifying
2 + -5k = 0

Solving
2 + -5k = 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 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4
Subproblem 2
Set the factor '(4 + -5k)' equal to zero and attempt to solve:

Simplifying
4 + -5k = 0

Solving
4 + -5k = 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 + -5k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5k = 0 + -4
-5k = 0 + -4

Combine like terms: 0 + -4 = -4
-5k = -4

Divide each side by '-5'.
k = 0.8

Simplifying
k = 0.8
Solution
k = {0.4, 0.8}