4*k^2+4*k=8*k

Solution for 4*k^2+4*k=8*k equation:

Simplifying
4k2 + 4k = 8k

Reorder the terms:
4k + 4k2 = 8k

Solving
4k + 4k2 = 8k

Solving for variable 'k'.

Reorder the terms:
4k + -8k + 4k2 = 8k + -8k

Combine like terms: 4k + -8k = -4k
-4k + 4k2 = 8k + -8k

Combine like terms: 8k + -8k = 0
-4k + 4k2 = 0

Factor out the Greatest Common Factor (GCF), '4k'.
4k(-1 + k) = 0

Ignore the factor 4.
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 '(-1 + k)' equal to zero and attempt to solve:

Simplifying
-1 + k = 0

Solving
-1 + k = 0

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

Add '1' to each side of the equation.
-1 + 1 + k = 0 + 1

Combine like terms: -1 + 1 = 0
0 + k = 0 + 1
k = 0 + 1

Combine like terms: 0 + 1 = 1
k = 1

Simplifying
k = 1
Solution
k = {0, 1}