(7+v)(5v-8)=0

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Solution for (7+v)(5v-8)=0 equation: 


Simplifying
(7 + v)(5v + -8) = 0

Reorder the terms:
(7 + v)(-8 + 5v) = 0

Multiply (7 + v) * (-8 + 5v)
(7(-8 + 5v) + v(-8 + 5v)) = 0
((-8 * 7 + 5v * 7) + v(-8 + 5v)) = 0
((-56 + 35v) + v(-8 + 5v)) = 0
(-56 + 35v + (-8 * v + 5v * v)) = 0
(-56 + 35v + (-8v + 5v2)) = 0

Combine like terms: 35v + -8v = 27v
(-56 + 27v + 5v2) = 0

Solving
-56 + 27v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(8 + -5v) = 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 '(8 + -5v)' equal to zero and attempt to solve:

Simplifying
8 + -5v = 0

Solving
8 + -5v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5v = 0 + -8
-5v = 0 + -8

Combine like terms: 0 + -8 = -8
-5v = -8

Divide each side by '-5'.
v = 1.6

Simplifying
v = 1.6
Solution
v = {-7, 1.6}

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