(v-5)(v-8)=0

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Solution for (v-5)(v-8)=0 equation: 


Simplifying
(v + -5)(v + -8) = 0

Reorder the terms:
(-5 + v)(v + -8) = 0

Reorder the terms:
(-5 + v)(-8 + v) = 0

Multiply (-5 + v) * (-8 + v)
(-5(-8 + v) + v(-8 + v)) = 0
((-8 * -5 + v * -5) + v(-8 + v)) = 0
((40 + -5v) + v(-8 + v)) = 0
(40 + -5v + (-8 * v + v * v)) = 0
(40 + -5v + (-8v + v2)) = 0

Combine like terms: -5v + -8v = -13v
(40 + -13v + v2) = 0

Solving
40 + -13v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(8 + -1v) = 0


Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5

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 = {5, 8}

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