96=r^2+10r

Solution for 96=r^2+10r equation:

Simplifying
96 = r2 + 10r

Reorder the terms:
96 = 10r + r2

Solving
96 = 10r + r2

Solving for variable 'r'.

Reorder the terms:
96 + -10r + -1r2 = 10r + -10r + r2 + -1r2

Combine like terms: 10r + -10r = 0
96 + -10r + -1r2 = 0 + r2 + -1r2
96 + -10r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
96 + -10r + -1r2 = 0

Factor a trinomial.
(6 + -1r)(16 + r) = 0

Subproblem 1
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Subproblem 2
Set the factor '(16 + r)' equal to zero and attempt to solve:

Simplifying
16 + r = 0

Solving
16 + r = 0

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

Add '-16' to each side of the equation.
16 + -16 + r = 0 + -16

Combine like terms: 16 + -16 = 0
0 + r = 0 + -16
r = 0 + -16

Combine like terms: 0 + -16 = -16
r = -16

Simplifying
r = -16
Solution
r = {6, -16}