(5v+9)(1+v)=0

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Solution for (5v+9)(1+v)=0 equation:


Simplifying
(5v + 9)(1 + v) = 0

Reorder the terms:
(9 + 5v)(1 + v) = 0

Multiply (9 + 5v) * (1 + v)
(9(1 + v) + 5v * (1 + v)) = 0
((1 * 9 + v * 9) + 5v * (1 + v)) = 0
((9 + 9v) + 5v * (1 + v)) = 0
(9 + 9v + (1 * 5v + v * 5v)) = 0
(9 + 9v + (5v + 5v2)) = 0

Combine like terms: 9v + 5v = 14v
(9 + 14v + 5v2) = 0

Solving
9 + 14v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1

Solution

v = {-1.8, -1}

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