2r^2=9r

Solution for 2r^2=9r equation:

Simplifying
2r2 = 9r

Solving
2r2 = 9r

Solving for variable 'r'.

Reorder the terms:
-9r + 2r2 = 9r + -9r

Combine like terms: 9r + -9r = 0
-9r + 2r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-9 + 2r) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-9 + 2r)' equal to zero and attempt to solve:

Simplifying
-9 + 2r = 0

Solving
-9 + 2r = 0

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

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

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

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

Divide each side by '2'.
r = 4.5

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