(2v+3)(8+v)=0

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Solution for (2v+3)(8+v)=0 equation:


Simplifying
(2v + 3)(8 + v) = 0

Reorder the terms:
(3 + 2v)(8 + v) = 0

Multiply (3 + 2v) * (8 + v)
(3(8 + v) + 2v * (8 + v)) = 0
((8 * 3 + v * 3) + 2v * (8 + v)) = 0
((24 + 3v) + 2v * (8 + v)) = 0
(24 + 3v + (8 * 2v + v * 2v)) = 0
(24 + 3v + (16v + 2v2)) = 0

Combine like terms: 3v + 16v = 19v
(24 + 19v + 2v2) = 0

Solving
24 + 19v + 2v2 = 0

Solving for variable 'v'.

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

Subproblem 1

Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8

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 = {-8, -1.5}

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