3(v-4)(4v-5)=0

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Solution for 3(v-4)(4v-5)=0 equation: 


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

Reorder the terms:
3(-4 + v)(4v + -5) = 0

Reorder the terms:
3(-4 + v)(-5 + 4v) = 0

Multiply (-4 + v) * (-5 + 4v)
3(-4(-5 + 4v) + v(-5 + 4v)) = 0
3((-5 * -4 + 4v * -4) + v(-5 + 4v)) = 0
3((20 + -16v) + v(-5 + 4v)) = 0
3(20 + -16v + (-5 * v + 4v * v)) = 0
3(20 + -16v + (-5v + 4v2)) = 0

Combine like terms: -16v + -5v = -21v
3(20 + -21v + 4v2) = 0
(20 * 3 + -21v * 3 + 4v2 * 3) = 0
(60 + -63v + 12v2) = 0

Solving
60 + -63v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -21v + 4v2) = 0

Factor a trinomial.
3((5 + -4v)(4 + -1v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -4v)' equal to zero and attempt to solve:

Simplifying
5 + -4v = 0

Solving
5 + -4v = 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 + -4v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4v = 0 + -5
-4v = 0 + -5

Combine like terms: 0 + -5 = -5
-4v = -5

Divide each side by '-4'.
v = 1.25

Simplifying
v = 1.25

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
Solution
v = {1.25, 4}

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