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

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


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

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

Multiply (7 + v) * (-5 + 2v)
(7(-5 + 2v) + v(-5 + 2v)) = 0
((-5 * 7 + 2v * 7) + v(-5 + 2v)) = 0
((-35 + 14v) + v(-5 + 2v)) = 0
(-35 + 14v + (-5 * v + 2v * v)) = 0
(-35 + 14v + (-5v + 2v2)) = 0

Combine like terms: 14v + -5v = 9v
(-35 + 9v + 2v2) = 0

Solving
-35 + 9v + 2v2 = 0

Solving for variable 'v'.

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


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

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 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 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Divide each side by '-1'.
v = -7

Simplifying
v = -7

Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve:

Simplifying
5 + -2v = 0

Solving
5 + -2v = 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 + -2v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2v = 0 + -5
-2v = 0 + -5

Combine like terms: 0 + -5 = -5
-2v = -5

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {-7, 2.5}

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