(4k+k)(k+7)=0

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Solution for (4k+k)(k+7)=0 equation: 


Simplifying
(4k + k)(k + 7) = 0

Combine like terms: 4k + k = 5k
(5k)(k + 7) = 0

Remove parenthesis around (5k)
5k(k + 7) = 0

Reorder the terms:
5k(7 + k) = 0
(7 * 5k + k * 5k) = 0
(35k + 5k2) = 0

Solving
35k + 5k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(7 + k) = 0

Ignore the factor 5.

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

Simplifying
7 + k = 0

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

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

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

Simplifying
k = -7
Solution
k = {0, -7}

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