-6(r^2-8r-1280)=0

Solution for -6(r^2-8r-1280)=0 equation:

Simplifying
-6(r2 + -8r + -1280) = 0

Reorder the terms:
-6(-1280 + -8r + r2) = 0
(-1280 * -6 + -8r * -6 + r2 * -6) = 0
(7680 + 48r + -6r2) = 0

Solving
7680 + 48r + -6r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1280 + 8r + -1r2) = 0

Factor a trinomial.
6((40 + -1r)(32 + r)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(40 + -1r)' equal to zero and attempt to solve:

Simplifying
40 + -1r = 0

Solving
40 + -1r = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1r = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1r = 0 + -40
-1r = 0 + -40

Combine like terms: 0 + -40 = -40
-1r = -40

Divide each side by '-1'.
r = 40

Simplifying
r = 40
Subproblem 2
Set the factor '(32 + r)' equal to zero and attempt to solve:

Simplifying
32 + r = 0

Solving
32 + r = 0

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

Add '-32' to each side of the equation.
32 + -32 + r = 0 + -32

Combine like terms: 32 + -32 = 0
0 + r = 0 + -32
r = 0 + -32

Combine like terms: 0 + -32 = -32
r = -32

Simplifying
r = -32
Solution
r = {40, -32}