(5v+9)(3+v)=0

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Solution for (5v+9)(3+v)=0 equation:


Simplifying
(5v + 9)(3 + v) = 0

Reorder the terms:
(9 + 5v)(3 + v) = 0

Multiply (9 + 5v) * (3 + v)
(9(3 + v) + 5v * (3 + v)) = 0
((3 * 9 + v * 9) + 5v * (3 + v)) = 0
((27 + 9v) + 5v * (3 + v)) = 0
(27 + 9v + (3 * 5v + v * 5v)) = 0
(27 + 9v + (15v + 5v2)) = 0

Combine like terms: 9v + 15v = 24v
(27 + 24v + 5v2) = 0

Solving
27 + 24v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3

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 = {-3, -1.8}

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