(r-8)(2r+10)=

Solution for (r-8)(2r+10)= equation:

Simplifying
(r + -8)(2r + 10) = 0

Reorder the terms:
(-8 + r)(2r + 10) = 0

Reorder the terms:
(-8 + r)(10 + 2r) = 0

Multiply (-8 + r) * (10 + 2r)
(-8(10 + 2r) + r(10 + 2r)) = 0
((10 * -8 + 2r * -8) + r(10 + 2r)) = 0
((-80 + -16r) + r(10 + 2r)) = 0
(-80 + -16r + (10 * r + 2r * r)) = 0
(-80 + -16r + (10r + 2r2)) = 0

Combine like terms: -16r + 10r = -6r
(-80 + -6r + 2r2) = 0

Solving
-80 + -6r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3r + r2) = 0

Factor a trinomial.
2((-5 + -1r)(8 + -1r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1r)' equal to zero and attempt to solve:

Simplifying
-5 + -1r = 0

Solving
-5 + -1r = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1r = 0 + 5
-1r = 0 + 5

Combine like terms: 0 + 5 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5
Subproblem 2
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
Solution
r = {-5, 8}