3k(k+10)k=0

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Solution for 3k(k+10)k=0 equation: 


Simplifying
3k(k + 10) * k = 0

Reorder the terms:
3k(10 + k) * k = 0

Reorder the terms for easier multiplication:
3k * k(10 + k) = 0

Multiply k * k
3k2(10 + k) = 0
(10 * 3k2 + k * 3k2) = 0
(30k2 + 3k3) = 0

Solving
30k2 + 3k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k2'.
3k2(10 + k) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}

Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve:

Simplifying
10 + k = 0

Solving
10 + k = 0

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

Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10

Combine like terms: 0 + -10 = -10
k = -10

Simplifying
k = -10
Solution
k = {0, -10}

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