0=r^2-12r-64

Solution for 0=r^2-12r-64 equation:

Simplifying
0 = r2 + -12r + -64

Reorder the terms:
0 = -64 + -12r + r2

Solving
0 = -64 + -12r + r2

Solving for variable 'r'.

Combine like terms: 0 + 64 = 64
64 + 12r + -1r2 = -64 + -12r + r2 + 64 + 12r + -1r2

Reorder the terms:
64 + 12r + -1r2 = -64 + 64 + -12r + 12r + r2 + -1r2

Combine like terms: -64 + 64 = 0
64 + 12r + -1r2 = 0 + -12r + 12r + r2 + -1r2
64 + 12r + -1r2 = -12r + 12r + r2 + -1r2

Combine like terms: -12r + 12r = 0
64 + 12r + -1r2 = 0 + r2 + -1r2
64 + 12r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
64 + 12r + -1r2 = 0

Factor a trinomial.
(16 + -1r)(4 + r) = 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 '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 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 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
Solution
r = {16, -4}