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

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


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

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

Reorder the terms:
(-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 = -26v
(8 + -26v + 20v2) = 0

Solving
8 + -26v + 20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13v + 10v2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
v = {0.5, 0.8}

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