(4+v)(5v-9)=0

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Solution for (4+v)(5v-9)=0 equation: 


Simplifying
(4 + v)(5v + -9) = 0

Reorder the terms:
(4 + v)(-9 + 5v) = 0

Multiply (4 + v) * (-9 + 5v)
(4(-9 + 5v) + v(-9 + 5v)) = 0
((-9 * 4 + 5v * 4) + v(-9 + 5v)) = 0
((-36 + 20v) + v(-9 + 5v)) = 0
(-36 + 20v + (-9 * v + 5v * v)) = 0
(-36 + 20v + (-9v + 5v2)) = 0

Combine like terms: 20v + -9v = 11v
(-36 + 11v + 5v2) = 0

Solving
-36 + 11v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(9 + -5v) = 0


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

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 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 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4

Subproblem 2
Set the factor '(9 + -5v)' equal to zero and attempt to solve:

Simplifying
9 + -5v = 0

Solving
9 + -5v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -5v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5v = 0 + -9
-5v = 0 + -9

Combine like terms: 0 + -9 = -9
-5v = -9

Divide each side by '-5'.
v = 1.8

Simplifying
v = 1.8
Solution
v = {-4, 1.8}

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