(r)(r)+10r=96

Solution for (r)(r)+10r=96 equation:

Simplifying
(r)(r) + 10r = 96

Multiply r * r
r2 + 10r = 96

Reorder the terms:
10r + r2 = 96

Solving
10r + r2 = 96

Solving for variable 'r'.

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

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

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

Subproblem 1
Set the factor '(-16 + -1r)' equal to zero and attempt to solve:

Simplifying
-16 + -1r = 0

Solving
-16 + -1r = 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 + -1r = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1r = 0 + 16
-1r = 0 + 16

Combine like terms: 0 + 16 = 16
-1r = 16

Divide each side by '-1'.
r = -16

Simplifying
r = -16
Subproblem 2
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
Solution
r = {-16, 6}