-2(r-4)(r+2)=

Solution for -2(r-4)(r+2)= equation:

Simplifying
-2(r + -4)(r + 2) = 0

Reorder the terms:
-2(-4 + r)(r + 2) = 0

Reorder the terms:
-2(-4 + r)(2 + r) = 0

Multiply (-4 + r) * (2 + r)
-2(-4(2 + r) + r(2 + r)) = 0
-2((2 * -4 + r * -4) + r(2 + r)) = 0
-2((-8 + -4r) + r(2 + r)) = 0
-2(-8 + -4r + (2 * r + r * r)) = 0
-2(-8 + -4r + (2r + r2)) = 0

Combine like terms: -4r + 2r = -2r
-2(-8 + -2r + r2) = 0
(-8 * -2 + -2r * -2 + r2 * -2) = 0
(16 + 4r + -2r2) = 0

Solving
16 + 4r + -2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 2r + -1r2) = 0

Factor a trinomial.
2((4 + -1r)(2 + r)) = 0

Ignore the factor 2.
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 '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

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

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {4, -2}