5r^2+48r+64=0

Solution for 5r^2+48r+64=0 equation:

Simplifying
5r2 + 48r + 64 = 0

Reorder the terms:
64 + 48r + 5r2 = 0

Solving
64 + 48r + 5r2 = 0

Solving for variable 'r'.

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

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

Simplifying
8 + r = 0

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

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

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

Simplifying
r = -8
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 = {-8, -1.6}