4k(k+3)-k(k-1)=

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Solution for 4k(k+3)-k(k-1)= equation: 


Simplifying
4k(k + 3) + -1k(k + -1) = 0

Reorder the terms:
4k(3 + k) + -1k(k + -1) = 0
(3 * 4k + k * 4k) + -1k(k + -1) = 0
(12k + 4k2) + -1k(k + -1) = 0

Reorder the terms:
12k + 4k2 + -1k(-1 + k) = 0
12k + 4k2 + (-1 * -1k + k * -1k) = 0
12k + 4k2 + (1k + -1k2) = 0

Reorder the terms:
12k + 1k + 4k2 + -1k2 = 0

Combine like terms: 12k + 1k = 13k
13k + 4k2 + -1k2 = 0

Combine like terms: 4k2 + -1k2 = 3k2
13k + 3k2 = 0

Solving
13k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(13 + 3k) = 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 '(13 + 3k)' equal to zero and attempt to solve:

Simplifying
13 + 3k = 0

Solving
13 + 3k = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3k = 0 + -13
3k = 0 + -13

Combine like terms: 0 + -13 = -13
3k = -13

Divide each side by '3'.
k = -4.333333333

Simplifying
k = -4.333333333
Solution
k = {0, -4.333333333}

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