(2v+3)(4+v)=0

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Solution for (2v+3)(4+v)=0 equation:


Simplifying
(2v + 3)(4 + v) = 0

Reorder the terms:
(3 + 2v)(4 + v) = 0

Multiply (3 + 2v) * (4 + v)
(3(4 + v) + 2v * (4 + v)) = 0
((4 * 3 + v * 3) + 2v * (4 + v)) = 0
((12 + 3v) + 2v * (4 + v)) = 0
(12 + 3v + (4 * 2v + v * 2v)) = 0
(12 + 3v + (8v + 2v2)) = 0

Combine like terms: 3v + 8v = 11v
(12 + 11v + 2v2) = 0

Solving
12 + 11v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + v)(3 + 2v) = 0

Subproblem 1

Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(3 + 2v)' equal to zero and attempt to solve: Simplifying 3 + 2v = 0 Solving 3 + 2v = 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 + 2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 0 + -3 2v = 0 + -3 Combine like terms: 0 + -3 = -3 2v = -3 Divide each side by '2'. v = -1.5 Simplifying v = -1.5

Solution

v = {-4, -1.5}

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