(2v+4)(v+7)=0

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Solution for (2v+4)(v+7)=0 equation: 


Simplifying
(2v + 4)(v + 7) = 0

Reorder the terms:
(4 + 2v)(v + 7) = 0

Reorder the terms:
(4 + 2v)(7 + v) = 0

Multiply (4 + 2v) * (7 + v)
(4(7 + v) + 2v * (7 + v)) = 0
((7 * 4 + v * 4) + 2v * (7 + v)) = 0
((28 + 4v) + 2v * (7 + v)) = 0
(28 + 4v + (7 * 2v + v * 2v)) = 0
(28 + 4v + (14v + 2v2)) = 0

Combine like terms: 4v + 14v = 18v
(28 + 18v + 2v2) = 0

Solving
28 + 18v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + 9v + v2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 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 + v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + v = 0 + -7
v = 0 + -7

Combine like terms: 0 + -7 = -7
v = -7

Simplifying
v = -7

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 = {-7, -2}

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