(8+v)(5v-3)=0

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Solution for (8+v)(5v-3)=0 equation: 


Simplifying
(8 + v)(5v + -3) = 0

Reorder the terms:
(8 + v)(-3 + 5v) = 0

Multiply (8 + v) * (-3 + 5v)
(8(-3 + 5v) + v(-3 + 5v)) = 0
((-3 * 8 + 5v * 8) + v(-3 + 5v)) = 0
((-24 + 40v) + v(-3 + 5v)) = 0
(-24 + 40v + (-3 * v + 5v * v)) = 0
(-24 + 40v + (-3v + 5v2)) = 0

Combine like terms: 40v + -3v = 37v
(-24 + 37v + 5v2) = 0

Solving
-24 + 37v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(3 + -5v) = 0


Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 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 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Solution
v = {-8, 0.6}

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