5(v+4)(-v+5)=0

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Solution for 5(v+4)(-v+5)=0 equation: 


Simplifying
5(v + 4)(-1v + 5) = 0

Reorder the terms:
5(4 + v)(-1v + 5) = 0

Reorder the terms:
5(4 + v)(5 + -1v) = 0

Multiply (4 + v) * (5 + -1v)
5(4(5 + -1v) + v(5 + -1v)) = 0
5((5 * 4 + -1v * 4) + v(5 + -1v)) = 0
5((20 + -4v) + v(5 + -1v)) = 0
5(20 + -4v + (5 * v + -1v * v)) = 0
5(20 + -4v + (5v + -1v2)) = 0

Combine like terms: -4v + 5v = 1v
5(20 + 1v + -1v2) = 0
(20 * 5 + 1v * 5 + -1v2 * 5) = 0
(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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