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

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


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

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

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

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

Combine like terms: -9v + 5v = -4v
-5v(-45 + -4v + v2) = 0
(-45 * -5v + -4v * -5v + v2 * -5v) = 0
(225v + 20v2 + -5v3) = 0

Solving
225v + 20v2 + -5v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(45 + 4v + -1v2) = 0

Factor a trinomial.
5v((9 + -1v)(5 + v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

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

Subproblem 3
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 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 + v = 0 + -5

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

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

Simplifying
v = -5
Solution
v = {0, 9, -5}

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