k^2+3k=2k^2

Solution for k^2+3k=2k^2 equation:

Simplifying
k2 + 3k = 2k2

Reorder the terms:
3k + k2 = 2k2

Solving
3k + k2 = 2k2

Solving for variable 'k'.

Combine like terms: k2 + -2k2 = -1k2
3k + -1k2 = 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
3k + -1k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(3 + -1k) = 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 '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {0, 3}