(9v+4)(5v-2)=0

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Solution for (9v+4)(5v-2)=0 equation: 


Simplifying
(9v + 4)(5v + -2) = 0

Reorder the terms:
(4 + 9v)(5v + -2) = 0

Reorder the terms:
(4 + 9v)(-2 + 5v) = 0

Multiply (4 + 9v) * (-2 + 5v)
(4(-2 + 5v) + 9v * (-2 + 5v)) = 0
((-2 * 4 + 5v * 4) + 9v * (-2 + 5v)) = 0
((-8 + 20v) + 9v * (-2 + 5v)) = 0
(-8 + 20v + (-2 * 9v + 5v * 9v)) = 0
(-8 + 20v + (-18v + 45v2)) = 0

Combine like terms: 20v + -18v = 2v
(-8 + 2v + 45v2) = 0

Solving
-8 + 2v + 45v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -9v)(2 + -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 '(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 = {-0.4444444444, 0.4}

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