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

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


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

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

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

Multiply (4 + 9v) * (-4 + 5v)
(4(-4 + 5v) + 9v * (-4 + 5v)) = 0
((-4 * 4 + 5v * 4) + 9v * (-4 + 5v)) = 0
((-16 + 20v) + 9v * (-4 + 5v)) = 0
(-16 + 20v + (-4 * 9v + 5v * 9v)) = 0
(-16 + 20v + (-36v + 45v2)) = 0

Combine like terms: 20v + -36v = -16v
(-16 + -16v + 45v2) = 0

Solving
-16 + -16v + 45v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-4 + -9v)' equal to zero and attempt to solve:

Simplifying
-4 + -9v = 0

Solving
-4 + -9v = 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 + -9v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9v = 0 + 4
-9v = 0 + 4

Combine like terms: 0 + 4 = 4
-9v = 4

Divide each side by '-9'.
v = -0.4444444444

Simplifying
v = -0.4444444444

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 = {-0.4444444444, 0.8}

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