60k^2-230k+70=0

Solution for 60k^2-230k+70=0 equation:

Simplifying
60k2 + -230k + 70 = 0

Reorder the terms:
70 + -230k + 60k2 = 0

Solving
70 + -230k + 60k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '10'.
10(7 + -23k + 6k2) = 0

Factor a trinomial.
10((1 + -3k)(7 + -2k)) = 0

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

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Subproblem 2
Set the factor '(7 + -2k)' equal to zero and attempt to solve:

Simplifying
7 + -2k = 0

Solving
7 + -2k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2k = 0 + -7

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

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

Divide each side by '-2'.
k = 3.5

Simplifying
k = 3.5
Solution
k = {0.3333333333, 3.5}