(2v-7)(5+v)=0

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Solution for (2v-7)(5+v)=0 equation: 


Simplifying
(2v + -7)(5 + v) = 0

Reorder the terms:
(-7 + 2v)(5 + v) = 0

Multiply (-7 + 2v) * (5 + v)
(-7(5 + v) + 2v * (5 + v)) = 0
((5 * -7 + v * -7) + 2v * (5 + v)) = 0
((-35 + -7v) + 2v * (5 + v)) = 0
(-35 + -7v + (5 * 2v + v * 2v)) = 0
(-35 + -7v + (10v + 2v2)) = 0

Combine like terms: -7v + 10v = 3v
(-35 + 3v + 2v2) = 0

Solving
-35 + 3v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(7 + -2v) = 0


Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve:

Simplifying
-5 + -1v = 0

Solving
-5 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5

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 = {-5, 3.5}

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