(v-36)(v+16)=0

Solution for (v-36)(v+16)=0 equation:

Simplifying
(v + -36)(v + 16) = 0

Reorder the terms:
(-36 + v)(v + 16) = 0

Reorder the terms:
(-36 + v)(16 + v) = 0

Multiply (-36 + v) * (16 + v)
(-36(16 + v) + v(16 + v)) = 0
((16 * -36 + v * -36) + v(16 + v)) = 0
((-576 + -36v) + v(16 + v)) = 0
(-576 + -36v + (16 * v + v * v)) = 0
(-576 + -36v + (16v + v2)) = 0

Combine like terms: -36v + 16v = -20v
(-576 + -20v + v2) = 0

Solving
-576 + -20v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-16 + -1v)(36 + -1v) = 0

Subproblem 1
Set the factor '(-16 + -1v)' equal to zero and attempt to solve:

Simplifying
-16 + -1v = 0

Solving
-16 + -1v = 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 + -1v = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1v = 0 + 16
-1v = 0 + 16

Combine like terms: 0 + 16 = 16
-1v = 16

Divide each side by '-1'.
v = -16

Simplifying
v = -16
Subproblem 2
Set the factor '(36 + -1v)' equal to zero and attempt to solve:

Simplifying
36 + -1v = 0

Solving
36 + -1v = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1v = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1v = 0 + -36
-1v = 0 + -36

Combine like terms: 0 + -36 = -36
-1v = -36

Divide each side by '-1'.
v = 36

Simplifying
v = 36
Solution
v = {-16, 36}