3v(v-8)(v-6)=0

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Solution for 3v(v-8)(v-6)=0 equation: 


Simplifying
3v(v + -8)(v + -6) = 0

Reorder the terms:
3v(-8 + v)(v + -6) = 0

Reorder the terms:
3v(-8 + v)(-6 + v) = 0

Multiply (-8 + v) * (-6 + v)
3v(-8(-6 + v) + v(-6 + v)) = 0
3v((-6 * -8 + v * -8) + v(-6 + v)) = 0
3v((48 + -8v) + v(-6 + v)) = 0
3v(48 + -8v + (-6 * v + v * v)) = 0
3v(48 + -8v + (-6v + v2)) = 0

Combine like terms: -8v + -6v = -14v
3v(48 + -14v + v2) = 0
(48 * 3v + -14v * 3v + v2 * 3v) = 0
(144v + -42v2 + 3v3) = 0

Solving
144v + -42v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(48 + -14v + v2) = 0

Factor a trinomial.
3v((6 + -1v)(8 + -1v)) = 0

Ignore the factor 3.

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 '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6

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, 6, 8}

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