3(7k^2+k)-5k=

Solution for 3(7k^2+k)-5k= equation:

Simplifying
3(7k2 + k) + -5k = 0

Reorder the terms:
3(k + 7k2) + -5k = 0
(k * 3 + 7k2 * 3) + -5k = 0
(3k + 21k2) + -5k = 0

Reorder the terms:
3k + -5k + 21k2 = 0

Combine like terms: 3k + -5k = -2k
-2k + 21k2 = 0

Solving
-2k + 21k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-2 + 21k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-2 + 21k)' equal to zero and attempt to solve:

Simplifying
-2 + 21k = 0

Solving
-2 + 21k = 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 + 21k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 21k = 0 + 2
21k = 0 + 2

Combine like terms: 0 + 2 = 2
21k = 2

Divide each side by '21'.
k = 0.09523809524

Simplifying
k = 0.09523809524
Solution
k = {0, 0.09523809524}