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

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


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

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

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

Combine like terms: -8v + 35v = 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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