(5v+4)(7v+9)=0

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Solution for (5v+4)(7v+9)=0 equation: 


Simplifying
(5v + 4)(7v + 9) = 0

Reorder the terms:
(4 + 5v)(7v + 9) = 0

Reorder the terms:
(4 + 5v)(9 + 7v) = 0

Multiply (4 + 5v) * (9 + 7v)
(4(9 + 7v) + 5v * (9 + 7v)) = 0
((9 * 4 + 7v * 4) + 5v * (9 + 7v)) = 0
((36 + 28v) + 5v * (9 + 7v)) = 0
(36 + 28v + (9 * 5v + 7v * 5v)) = 0
(36 + 28v + (45v + 35v2)) = 0

Combine like terms: 28v + 45v = 73v
(36 + 73v + 35v2) = 0

Solving
36 + 73v + 35v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + 7v)(4 + 5v) = 0


Subproblem 1
Set the factor '(9 + 7v)' equal to zero and attempt to solve:

Simplifying
9 + 7v = 0

Solving
9 + 7v = 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 + 7v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7v = 0 + -9
7v = 0 + -9

Combine like terms: 0 + -9 = -9
7v = -9

Divide each side by '7'.
v = -1.285714286

Simplifying
v = -1.285714286

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 = {-1.285714286, -0.8}

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