48=r^2+8r

Solution for 48=r^2+8r equation:

Simplifying
48 = r2 + 8r

Reorder the terms:
48 = 8r + r2

Solving
48 = 8r + r2

Solving for variable 'r'.

Reorder the terms:
48 + -8r + -1r2 = 8r + -8r + r2 + -1r2

Combine like terms: 8r + -8r = 0
48 + -8r + -1r2 = 0 + r2 + -1r2
48 + -8r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
48 + -8r + -1r2 = 0

Factor a trinomial.
(4 + -1r)(12 + r) = 0

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

Simplifying
4 + -1r = 0

Solving
4 + -1r = 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 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4
Subproblem 2
Set the factor '(12 + r)' equal to zero and attempt to solve:

Simplifying
12 + r = 0

Solving
12 + r = 0

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

Add '-12' to each side of the equation.
12 + -12 + r = 0 + -12

Combine like terms: 12 + -12 = 0
0 + r = 0 + -12
r = 0 + -12

Combine like terms: 0 + -12 = -12
r = -12

Simplifying
r = -12
Solution
r = {4, -12}