2v(v-3)(v+8)=0

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Solution for 2v(v-3)(v+8)=0 equation: 


Simplifying
2v(v + -3)(v + 8) = 0

Reorder the terms:
2v(-3 + v)(v + 8) = 0

Reorder the terms:
2v(-3 + v)(8 + v) = 0

Multiply (-3 + v) * (8 + v)
2v(-3(8 + v) + v(8 + v)) = 0
2v((8 * -3 + v * -3) + v(8 + v)) = 0
2v((-24 + -3v) + v(8 + v)) = 0
2v(-24 + -3v + (8 * v + v * v)) = 0
2v(-24 + -3v + (8v + v2)) = 0

Combine like terms: -3v + 8v = 5v
2v(-24 + 5v + v2) = 0
(-24 * 2v + 5v * 2v + v2 * 2v) = 0
(-48v + 10v2 + 2v3) = 0

Solving
-48v + 10v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-24 + 5v + v2) = 0

Factor a trinomial.
2v((-8 + -1v)(3 + -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 '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

Subproblem 3
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {0, -8, 3}

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