64r=4(r+6)(r-6)

Solution for 64r=4(r+6)(r-6) equation:

Simplifying
64r = 4(r + 6)(r + -6)

Reorder the terms:
64r = 4(6 + r)(r + -6)

Reorder the terms:
64r = 4(6 + r)(-6 + r)

Multiply (6 + r) * (-6 + r)
64r = 4(6(-6 + r) + r(-6 + r))
64r = 4((-6 * 6 + r * 6) + r(-6 + r))
64r = 4((-36 + 6r) + r(-6 + r))
64r = 4(-36 + 6r + (-6 * r + r * r))
64r = 4(-36 + 6r + (-6r + r2))

Combine like terms: 6r + -6r = 0
64r = 4(-36 + 0 + r2)
64r = 4(-36 + r2)
64r = (-36 * 4 + r2 * 4)
64r = (-144 + 4r2)

Solving
64r = -144 + 4r2

Solving for variable 'r'.

Reorder the terms:
144 + 64r + -4r2 = -144 + 4r2 + 144 + -4r2

Reorder the terms:
144 + 64r + -4r2 = -144 + 144 + 4r2 + -4r2

Combine like terms: -144 + 144 = 0
144 + 64r + -4r2 = 0 + 4r2 + -4r2
144 + 64r + -4r2 = 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
144 + 64r + -4r2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + 16r + -1r2) = 0

Factor a trinomial.
4((18 + -1r)(2 + r)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(18 + -1r)' equal to zero and attempt to solve:

Simplifying
18 + -1r = 0

Solving
18 + -1r = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1r = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1r = 0 + -18
-1r = 0 + -18

Combine like terms: 0 + -18 = -18
-1r = -18

Divide each side by '-1'.
r = 18

Simplifying
r = 18
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 = {18, -2}