(v+8)(v-2)=0

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Solution for (v+8)(v-2)=0 equation: 


Simplifying
(v + 8)(v + -2) = 0

Reorder the terms:
(8 + v)(v + -2) = 0

Reorder the terms:
(8 + v)(-2 + v) = 0

Multiply (8 + v) * (-2 + v)
(8(-2 + v) + v(-2 + v)) = 0
((-2 * 8 + v * 8) + v(-2 + v)) = 0
((-16 + 8v) + v(-2 + v)) = 0
(-16 + 8v + (-2 * v + v * v)) = 0
(-16 + 8v + (-2v + v2)) = 0

Combine like terms: 8v + -2v = 6v
(-16 + 6v + v2) = 0

Solving
-16 + 6v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(2 + -1v) = 0


Subproblem 1
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

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-8, 2}

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