(8v-4)(5v-2)=

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Solution for (8v-4)(5v-2)= equation: 


Simplifying
(8v + -4)(5v + -2) = 0

Reorder the terms:
(-4 + 8v)(5v + -2) = 0

Reorder the terms:
(-4 + 8v)(-2 + 5v) = 0

Multiply (-4 + 8v) * (-2 + 5v)
(-4(-2 + 5v) + 8v * (-2 + 5v)) = 0
((-2 * -4 + 5v * -4) + 8v * (-2 + 5v)) = 0
((8 + -20v) + 8v * (-2 + 5v)) = 0
(8 + -20v + (-2 * 8v + 5v * 8v)) = 0
(8 + -20v + (-16v + 40v2)) = 0

Combine like terms: -20v + -16v = -36v
(8 + -36v + 40v2) = 0

Solving
8 + -36v + 40v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -9v + 10v2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 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 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4

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 = {0.4, 0.5}

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