9r^2-17r+8=0

Solution for 9r^2-17r+8=0 equation:

Simplifying
9r2 + -17r + 8 = 0

Reorder the terms:
8 + -17r + 9r2 = 0

Solving
8 + -17r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(8 + -9r)(1 + -1r) = 0

Subproblem 1
Set the factor '(8 + -9r)' equal to zero and attempt to solve:

Simplifying
8 + -9r = 0

Solving
8 + -9r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9r = 0 + -8
-9r = 0 + -8

Combine like terms: 0 + -8 = -8
-9r = -8

Divide each side by '-9'.
r = 0.8888888889

Simplifying
r = 0.8888888889
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

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

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

Divide each side by '-1'.
r = 1

Simplifying
r = 1
Solution
r = {0.8888888889, 1}