(v+16)(v+64)=0

Solution for (v+16)(v+64)=0 equation:

Simplifying
(v + 16)(v + 64) = 0

Reorder the terms:
(16 + v)(v + 64) = 0

Reorder the terms:
(16 + v)(64 + v) = 0

Multiply (16 + v) * (64 + v)
(16(64 + v) + v(64 + v)) = 0
((64 * 16 + v * 16) + v(64 + v)) = 0
((1024 + 16v) + v(64 + v)) = 0
(1024 + 16v + (64 * v + v * v)) = 0
(1024 + 16v + (64v + v2)) = 0

Combine like terms: 16v + 64v = 80v
(1024 + 80v + v2) = 0

Solving
1024 + 80v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(64 + v)(16 + v) = 0

Subproblem 1
Set the factor '(64 + v)' equal to zero and attempt to solve:

Simplifying
64 + v = 0

Solving
64 + v = 0

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

Add '-64' to each side of the equation.
64 + -64 + v = 0 + -64

Combine like terms: 64 + -64 = 0
0 + v = 0 + -64
v = 0 + -64

Combine like terms: 0 + -64 = -64
v = -64

Simplifying
v = -64
Subproblem 2
Set the factor '(16 + v)' equal to zero and attempt to solve:

Simplifying
16 + v = 0

Solving
16 + v = 0

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

Add '-16' to each side of the equation.
16 + -16 + v = 0 + -16

Combine like terms: 16 + -16 = 0
0 + v = 0 + -16
v = 0 + -16

Combine like terms: 0 + -16 = -16
v = -16

Simplifying
v = -16
Solution
v = {-64, -16}