9r^2-16r=0

Solution for 9r^2-16r=0 equation:

Simplifying
9r2 + -16r = 0

Reorder the terms:
-16r + 9r2 = 0

Solving
-16r + 9r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-16 + 9r) = 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 '(-16 + 9r)' equal to zero and attempt to solve:

Simplifying
-16 + 9r = 0

Solving
-16 + 9r = 0

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

Add '16' to each side of the equation.
-16 + 16 + 9r = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9r = 0 + 16
9r = 0 + 16

Combine like terms: 0 + 16 = 16
9r = 16

Divide each side by '9'.
r = 1.777777778

Simplifying
r = 1.777777778
Solution
r = {0, 1.777777778}