-5(v-9)(-v-5)=0

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Solution for -5(v-9)(-v-5)=0 equation: 


Simplifying
-5(v + -9)(-1v + -5) = 0

Reorder the terms:
-5(-9 + v)(-1v + -5) = 0

Reorder the terms:
-5(-9 + v)(-5 + -1v) = 0

Multiply (-9 + v) * (-5 + -1v)
-5(-9(-5 + -1v) + v(-5 + -1v)) = 0
-5((-5 * -9 + -1v * -9) + v(-5 + -1v)) = 0
-5((45 + 9v) + v(-5 + -1v)) = 0
-5(45 + 9v + (-5 * v + -1v * v)) = 0
-5(45 + 9v + (-5v + -1v2)) = 0

Combine like terms: 9v + -5v = 4v
-5(45 + 4v + -1v2) = 0
(45 * -5 + 4v * -5 + -1v2 * -5) = 0
(-225 + -20v + 5v2) = 0

Solving
-225 + -20v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-45 + -4v + v2) = 0

Factor a trinomial.
5((-5 + -1v)(9 + -1v)) = 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 '(9 + -1v)' equal to zero and attempt to solve:

Simplifying
9 + -1v = 0

Solving
9 + -1v = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1v = 0 + -9
-1v = 0 + -9

Combine like terms: 0 + -9 = -9
-1v = -9

Divide each side by '-1'.
v = 9

Simplifying
v = 9
Solution
v = {-5, 9}

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