(3v-2)(4v+4)=

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Solution for (3v-2)(4v+4)= equation: 


Simplifying
(3v + -2)(4v + 4) = 0

Reorder the terms:
(-2 + 3v)(4v + 4) = 0

Reorder the terms:
(-2 + 3v)(4 + 4v) = 0

Multiply (-2 + 3v) * (4 + 4v)
(-2(4 + 4v) + 3v * (4 + 4v)) = 0
((4 * -2 + 4v * -2) + 3v * (4 + 4v)) = 0
((-8 + -8v) + 3v * (4 + 4v)) = 0
(-8 + -8v + (4 * 3v + 4v * 3v)) = 0
(-8 + -8v + (12v + 12v2)) = 0

Combine like terms: -8v + 12v = 4v
(-8 + 4v + 12v2) = 0

Solving
-8 + 4v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + v + 3v2) = 0

Factor a trinomial.
4((-1 + -1v)(2 + -3v)) = 0

Ignore the factor 4.

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 '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {-1, 0.6666666667}

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