5r^2+28r+32=0

Solution for 5r^2+28r+32=0 equation:

Simplifying
5r2 + 28r + 32 = 0

Reorder the terms:
32 + 28r + 5r2 = 0

Solving
32 + 28r + 5r2 = 0

Solving for variable 'r'.

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

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

Simplifying
4 + r = 0

Solving
4 + r = 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 + r = 0 + -4

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

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

Simplifying
r = -4
Subproblem 2
Set the factor '(8 + 5r)' equal to zero and attempt to solve:

Simplifying
8 + 5r = 0

Solving
8 + 5r = 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 + 5r = 0 + -8

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

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

Divide each side by '5'.
r = -1.6

Simplifying
r = -1.6
Solution
r = {-4, -1.6}