(4V-2)(3V+2V+4)=0

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Solution for (4V-2)(3V+2V+4)=0 equation: 


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

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

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

Combine like terms: 3V + 2V = 5V
(-2 + 4V)(4 + 5V) = 0

Multiply (-2 + 4V) * (4 + 5V)
(-2(4 + 5V) + 4V * (4 + 5V)) = 0
((4 * -2 + 5V * -2) + 4V * (4 + 5V)) = 0
((-8 + -10V) + 4V * (4 + 5V)) = 0
(-8 + -10V + (4 * 4V + 5V * 4V)) = 0
(-8 + -10V + (16V + 20V2)) = 0

Combine like terms: -10V + 16V = 6V
(-8 + 6V + 20V2) = 0

Solving
-8 + 6V + 20V2 = 0

Solving for variable 'V'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3V + 10V2) = 0

Factor a trinomial.
2((-4 + -5V)(1 + -2V)) = 0

Ignore the factor 2.

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

Simplifying
-4 + -5V = 0

Solving
-4 + -5V = 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 + -5V = 0 + 4

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

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

Divide each side by '-5'.
V = -0.8

Simplifying
V = -0.8

Subproblem 2
Set the factor '(1 + -2V)' equal to zero and attempt to solve:

Simplifying
1 + -2V = 0

Solving
1 + -2V = 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 + -2V = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2V = 0 + -1
-2V = 0 + -1

Combine like terms: 0 + -1 = -1
-2V = -1

Divide each side by '-2'.
V = 0.5

Simplifying
V = 0.5
Solution
V = {-0.8, 0.5}

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