r^2-34r+64=0

Solution for r^2-34r+64=0 equation:

Simplifying
r2 + -34r + 64 = 0

Reorder the terms:
64 + -34r + r2 = 0

Solving
64 + -34r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(2 + -1r)(32 + -1r) = 0

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Subproblem 2
Set the factor '(32 + -1r)' equal to zero and attempt to solve:

Simplifying
32 + -1r = 0

Solving
32 + -1r = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1r = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1r = 0 + -32
-1r = 0 + -32

Combine like terms: 0 + -32 = -32
-1r = -32

Divide each side by '-1'.
r = 32

Simplifying
r = 32
Solution
r = {2, 32}