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

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


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

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

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

Combine like terms: 6v + 7v = 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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