(5v+2)(5v+4)=

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


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

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

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

Multiply (2 + 5v) * (4 + 5v)
(2(4 + 5v) + 5v * (4 + 5v)) = 0
((4 * 2 + 5v * 2) + 5v * (4 + 5v)) = 0
((8 + 10v) + 5v * (4 + 5v)) = 0
(8 + 10v + (4 * 5v + 5v * 5v)) = 0
(8 + 10v + (20v + 25v2)) = 0

Combine like terms: 10v + 20v = 30v
(8 + 30v + 25v2) = 0

Solving
8 + 30v + 25v2 = 0

Solving for variable 'v'.

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


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 '(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
Solution
v = {-0.8, -0.4}

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