7k^2-30k+8=

Solution for 7k^2-30k+8= equation:

Simplifying
7k2 + -30k + 8 = 0

Reorder the terms:
8 + -30k + 7k2 = 0

Solving
8 + -30k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(2 + -7k)(4 + -1k) = 0

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

Simplifying
2 + -7k = 0

Solving
2 + -7k = 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 + -7k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7k = 0 + -2
-7k = 0 + -2

Combine like terms: 0 + -2 = -2
-7k = -2

Divide each side by '-7'.
k = 0.2857142857

Simplifying
k = 0.2857142857
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {0.2857142857, 4}