(v-8)(v+4)=

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Solution for (v-8)(v+4)= equation: 


Simplifying
(v + -8)(v + 4) = 0

Reorder the terms:
(-8 + v)(v + 4) = 0

Reorder the terms:
(-8 + v)(4 + v) = 0

Multiply (-8 + v) * (4 + v)
(-8(4 + v) + v(4 + v)) = 0
((4 * -8 + v * -8) + v(4 + v)) = 0
((-32 + -8v) + v(4 + v)) = 0
(-32 + -8v + (4 * v + v * v)) = 0
(-32 + -8v + (4v + v2)) = 0

Combine like terms: -8v + 4v = -4v
(-32 + -4v + v2) = 0

Solving
-32 + -4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(8 + -1v) = 0


Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve:

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4

Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {-4, 8}

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