2v(v+9)(v-5)=0

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Solution for 2v(v+9)(v-5)=0 equation: 


Simplifying
2v(v + 9)(v + -5) = 0

Reorder the terms:
2v(9 + v)(v + -5) = 0

Reorder the terms:
2v(9 + v)(-5 + v) = 0

Multiply (9 + v) * (-5 + v)
2v(9(-5 + v) + v(-5 + v)) = 0
2v((-5 * 9 + v * 9) + v(-5 + v)) = 0
2v((-45 + 9v) + v(-5 + v)) = 0
2v(-45 + 9v + (-5 * v + v * v)) = 0
2v(-45 + 9v + (-5v + v2)) = 0

Combine like terms: 9v + -5v = 4v
2v(-45 + 4v + v2) = 0
(-45 * 2v + 4v * 2v + v2 * 2v) = 0
(-90v + 8v2 + 2v3) = 0

Solving
-90v + 8v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-45 + 4v + v2) = 0

Factor a trinomial.
2v((-9 + -1v)(5 + -1v)) = 0

Ignore the factor 2.

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

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