(-5v-20)(v-5)=

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Solution for (-5v-20)(v-5)= equation: 


Simplifying
(-5v + -20)(v + -5) = 0

Reorder the terms:
(-20 + -5v)(v + -5) = 0

Reorder the terms:
(-20 + -5v)(-5 + v) = 0

Multiply (-20 + -5v) * (-5 + v)
(-20(-5 + v) + -5v * (-5 + v)) = 0
((-5 * -20 + v * -20) + -5v * (-5 + v)) = 0
((100 + -20v) + -5v * (-5 + v)) = 0
(100 + -20v + (-5 * -5v + v * -5v)) = 0
(100 + -20v + (25v + -5v2)) = 0

Combine like terms: -20v + 25v = 5v
(100 + 5v + -5v2) = 0

Solving
100 + 5v + -5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(20 + v + -1v2) = 0

Factor a trinomial.
5((5 + -1v)(4 + v)) = 0

Ignore the factor 5.

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 '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 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 + v = 0 + -4

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

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

Simplifying
v = -4
Solution
v = {5, -4}

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