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

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


Simplifying
(2 + -1v)(2v + 7) = 0

Reorder the terms:
(2 + -1v)(7 + 2v) = 0

Multiply (2 + -1v) * (7 + 2v)
(2(7 + 2v) + -1v * (7 + 2v)) = 0
((7 * 2 + 2v * 2) + -1v * (7 + 2v)) = 0
((14 + 4v) + -1v * (7 + 2v)) = 0
(14 + 4v + (7 * -1v + 2v * -1v)) = 0
(14 + 4v + (-7v + -2v2)) = 0

Combine like terms: 4v + -7v = -3v
(14 + -3v + -2v2) = 0

Solving
14 + -3v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(7 + 2v) = 0


Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2

Subproblem 2
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
Solution
v = {2, -3.5}

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