2v(v-9)(v-4)=0

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Solution for 2v(v-9)(v-4)=0 equation: 


Simplifying
2v(v + -9)(v + -4) = 0

Reorder the terms:
2v(-9 + v)(v + -4) = 0

Reorder the terms:
2v(-9 + v)(-4 + v) = 0

Multiply (-9 + v) * (-4 + v)
2v(-9(-4 + v) + v(-4 + v)) = 0
2v((-4 * -9 + v * -9) + v(-4 + v)) = 0
2v((36 + -9v) + v(-4 + v)) = 0
2v(36 + -9v + (-4 * v + v * v)) = 0
2v(36 + -9v + (-4v + v2)) = 0

Combine like terms: -9v + -4v = -13v
2v(36 + -13v + v2) = 0
(36 * 2v + -13v * 2v + v2 * 2v) = 0
(72v + -26v2 + 2v3) = 0

Solving
72v + -26v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(36 + -13v + v2) = 0

Factor a trinomial.
2v((4 + -1v)(9 + -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 '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 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 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4

Subproblem 3
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 = {0, 4, 9}

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