(2v+9)(2+v)=0

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


Simplifying
(2v + 9)(2 + v) = 0

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

Multiply (9 + 2v) * (2 + v)
(9(2 + v) + 2v * (2 + v)) = 0
((2 * 9 + v * 9) + 2v * (2 + v)) = 0
((18 + 9v) + 2v * (2 + v)) = 0
(18 + 9v + (2 * 2v + v * 2v)) = 0
(18 + 9v + (4v + 2v2)) = 0

Combine like terms: 9v + 4v = 13v
(18 + 13v + 2v2) = 0

Solving
18 + 13v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + 2v)(2 + v) = 0

Subproblem 1

Set the factor '(9 + 2v)' equal to zero and attempt to solve: Simplifying 9 + 2v = 0 Solving 9 + 2v = 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 + 2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 0 + -9 2v = 0 + -9 Combine like terms: 0 + -9 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5

Subproblem 2

Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2

Solution

v = {-4.5, -2}

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