5r^2-32=36r

Solution for 5r^2-32=36r equation:

Simplifying
5r2 + -32 = 36r

Reorder the terms:
-32 + 5r2 = 36r

Solving
-32 + 5r2 = 36r

Solving for variable 'r'.

Reorder the terms:
-32 + -36r + 5r2 = 36r + -36r

Combine like terms: 36r + -36r = 0
-32 + -36r + 5r2 = 0

Factor a trinomial.
(-4 + -5r)(8 + -1r) = 0

Subproblem 1
Set the factor '(-4 + -5r)' equal to zero and attempt to solve:

Simplifying
-4 + -5r = 0

Solving
-4 + -5r = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5r = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5r = 0 + 4
-5r = 0 + 4

Combine like terms: 0 + 4 = 4
-5r = 4

Divide each side by '-5'.
r = -0.8

Simplifying
r = -0.8
Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 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 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {-0.8, 8}