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

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


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

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

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

Combine like terms: -7v + 4v = -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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