8r^2-29r+15=0

Solution for 8r^2-29r+15=0 equation:

Simplifying
8r2 + -29r + 15 = 0

Reorder the terms:
15 + -29r + 8r2 = 0

Solving
15 + -29r + 8r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + -8r)(3 + -1r) = 0

Subproblem 1
Set the factor '(5 + -8r)' equal to zero and attempt to solve:

Simplifying
5 + -8r = 0

Solving
5 + -8r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8r = 0 + -5
-8r = 0 + -5

Combine like terms: 0 + -5 = -5
-8r = -5

Divide each side by '-8'.
r = 0.625

Simplifying
r = 0.625
Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

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

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

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

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

Simplifying
r = 3
Solution
r = {0.625, 3}