2k^2-9k=0

Solution for 2k^2-9k=0 equation:

Simplifying
2k2 + -9k = 0

Reorder the terms:
-9k + 2k2 = 0

Solving
-9k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-9 + 2k) = 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 '(-9 + 2k)' equal to zero and attempt to solve:

Simplifying
-9 + 2k = 0

Solving
-9 + 2k = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2k = 0 + 9
2k = 0 + 9

Combine like terms: 0 + 9 = 9
2k = 9

Divide each side by '2'.
k = 4.5

Simplifying
k = 4.5
Solution
k = {0, 4.5}