15k^2-125k+210=

Solution for 15k^2-125k+210= equation:

Simplifying
15k2 + -125k + 210 = 0

Reorder the terms:
210 + -125k + 15k2 = 0

Solving
210 + -125k + 15k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5'.
5(42 + -25k + 3k2) = 0

Factor a trinomial.
5((7 + -3k)(6 + -1k)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(7 + -3k)' equal to zero and attempt to solve:

Simplifying
7 + -3k = 0

Solving
7 + -3k = 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 + -3k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3k = 0 + -7
-3k = 0 + -7

Combine like terms: 0 + -7 = -7
-3k = -7

Divide each side by '-3'.
k = 2.333333333

Simplifying
k = 2.333333333
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {2.333333333, 6}