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

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Solution for (2+v)(5v-4)=0 equation: 


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

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

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

Combine like terms: 10v + -4v = 6v
(-8 + 6v + 5v2) = 0

Solving
-8 + 6v + 5v2 = 0

Solving for variable 'v'.

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


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

Simplifying
-2 + -1v = 0

Solving
-2 + -1v = 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 + -1v = 0 + 2

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

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

Divide each side by '-1'.
v = -2

Simplifying
v = -2

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 = {-2, 0.8}

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