25k^2-5k=6

Solution for 25k^2-5k=6 equation:

Simplifying
25k2 + -5k = 6

Reorder the terms:
-5k + 25k2 = 6

Solving
-5k + 25k2 = 6

Solving for variable 'k'.

Reorder the terms:
-6 + -5k + 25k2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -5k + 25k2 = 0

Factor a trinomial.
(-2 + -5k)(3 + -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 '(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
Solution
k = {-0.4, 0.6}