(v-16)(v+81)=0

Solution for (v-16)(v+81)=0 equation:

Simplifying
(v + -16)(v + 81) = 0

Reorder the terms:
(-16 + v)(v + 81) = 0

Reorder the terms:
(-16 + v)(81 + v) = 0

Multiply (-16 + v) * (81 + v)
(-16(81 + v) + v(81 + v)) = 0
((81 * -16 + v * -16) + v(81 + v)) = 0
((-1296 + -16v) + v(81 + v)) = 0
(-1296 + -16v + (81 * v + v * v)) = 0
(-1296 + -16v + (81v + v2)) = 0

Combine like terms: -16v + 81v = 65v
(-1296 + 65v + v2) = 0

Solving
-1296 + 65v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-81 + -1v)(16 + -1v) = 0

Subproblem 1
Set the factor '(-81 + -1v)' equal to zero and attempt to solve:

Simplifying
-81 + -1v = 0

Solving
-81 + -1v = 0

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

Add '81' to each side of the equation.
-81 + 81 + -1v = 0 + 81

Combine like terms: -81 + 81 = 0
0 + -1v = 0 + 81
-1v = 0 + 81

Combine like terms: 0 + 81 = 81
-1v = 81

Divide each side by '-1'.
v = -81

Simplifying
v = -81
Subproblem 2
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
Solution
v = {-81, 16}