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

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


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

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

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

Multiply (-3 + 3v) * (-5 + 4v)
(-3(-5 + 4v) + 3v * (-5 + 4v)) = 0
((-5 * -3 + 4v * -3) + 3v * (-5 + 4v)) = 0
((15 + -12v) + 3v * (-5 + 4v)) = 0
(15 + -12v + (-5 * 3v + 4v * 3v)) = 0
(15 + -12v + (-15v + 12v2)) = 0

Combine like terms: -12v + -15v = -27v
(15 + -27v + 12v2) = 0

Solving
15 + -27v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9v + 4v2) = 0

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

Ignore the factor 3.

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1

Subproblem 2
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
Solution
v = {1, 1.25}

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