4v(v+5)(v-8)=0

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Solution for 4v(v+5)(v-8)=0 equation: 


Simplifying
4v(v + 5)(v + -8) = 0

Reorder the terms:
4v(5 + v)(v + -8) = 0

Reorder the terms:
4v(5 + v)(-8 + v) = 0

Multiply (5 + v) * (-8 + v)
4v(5(-8 + v) + v(-8 + v)) = 0
4v((-8 * 5 + v * 5) + v(-8 + v)) = 0
4v((-40 + 5v) + v(-8 + v)) = 0
4v(-40 + 5v + (-8 * v + v * v)) = 0
4v(-40 + 5v + (-8v + v2)) = 0

Combine like terms: 5v + -8v = -3v
4v(-40 + -3v + v2) = 0
(-40 * 4v + -3v * 4v + v2 * 4v) = 0
(-160v + -12v2 + 4v3) = 0

Solving
-160v + -12v2 + 4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(-40 + -3v + v2) = 0

Factor a trinomial.
4v((-5 + -1v)(8 + -1v)) = 0

Ignore the factor 4.

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 '(-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 3
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
Solution
v = {0, -5, 8}

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