(r+8)(r-6)=

Solution for (r+8)(r-6)= equation:

Simplifying
(r + 8)(r + -6) = 0

Reorder the terms:
(8 + r)(r + -6) = 0

Reorder the terms:
(8 + r)(-6 + r) = 0

Multiply (8 + r) * (-6 + r)
(8(-6 + r) + r(-6 + r)) = 0
((-6 * 8 + r * 8) + r(-6 + r)) = 0
((-48 + 8r) + r(-6 + r)) = 0
(-48 + 8r + (-6 * r + r * r)) = 0
(-48 + 8r + (-6r + r2)) = 0

Combine like terms: 8r + -6r = 2r
(-48 + 2r + r2) = 0

Solving
-48 + 2r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -1r)(6 + -1r) = 0

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

Simplifying
-8 + -1r = 0

Solving
-8 + -1r = 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 + -1r = 0 + 8

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

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

Divide each side by '-1'.
r = -8

Simplifying
r = -8
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 = {-8, 6}