21k^2+72k+0=0

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Solution for 21k^2+72k+0=0 equation: 


Simplifying
21k2 + 72k + 0 = 0

Reorder the terms:
0 + 72k + 21k2 = 0
Remove the zero:
72k + 21k2 = 0

Solving
72k + 21k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.
3k(24 + 7k) = 0

Ignore the factor 3.

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 '(24 + 7k)' equal to zero and attempt to solve:

Simplifying
24 + 7k = 0

Solving
24 + 7k = 0

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

Add '-24' to each side of the equation.
24 + -24 + 7k = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7k = 0 + -24
7k = 0 + -24

Combine like terms: 0 + -24 = -24
7k = -24

Divide each side by '7'.
k = -3.428571429

Simplifying
k = -3.428571429
Solution
k = {0, -3.428571429}

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