(2v+7)(v+3)=0

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Solution for (2v+7)(v+3)=0 equation:


Simplifying
(2v + 7)(v + 3) = 0

Reorder the terms:
(7 + 2v)(v + 3) = 0

Reorder the terms:
(7 + 2v)(3 + v) = 0

Multiply (7 + 2v) * (3 + v)
(7(3 + v) + 2v * (3 + v)) = 0
((3 * 7 + v * 7) + 2v * (3 + v)) = 0
((21 + 7v) + 2v * (3 + v)) = 0
(21 + 7v + (3 * 2v + v * 2v)) = 0
(21 + 7v + (6v + 2v2)) = 0

Combine like terms: 7v + 6v = 13v
(21 + 13v + 2v2) = 0

Solving
21 + 13v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + 2v)(3 + v) = 0

Subproblem 1

Set the factor '(7 + 2v)' equal to zero and attempt to solve: Simplifying 7 + 2v = 0 Solving 7 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5

Subproblem 2

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

Solution

v = {-3.5, -3}

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