(8v+3)(5v-15)=0

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Solution for (8v+3)(5v-15)=0 equation: 


Simplifying
(8v + 3)(5v + -15) = 0

Reorder the terms:
(3 + 8v)(5v + -15) = 0

Reorder the terms:
(3 + 8v)(-15 + 5v) = 0

Multiply (3 + 8v) * (-15 + 5v)
(3(-15 + 5v) + 8v * (-15 + 5v)) = 0
((-15 * 3 + 5v * 3) + 8v * (-15 + 5v)) = 0
((-45 + 15v) + 8v * (-15 + 5v)) = 0
(-45 + 15v + (-15 * 8v + 5v * 8v)) = 0
(-45 + 15v + (-120v + 40v2)) = 0

Combine like terms: 15v + -120v = -105v
(-45 + -105v + 40v2) = 0

Solving
-45 + -105v + 40v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + -21v + 8v2) = 0

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

Ignore the factor 5.

Subproblem 1
Set the factor '(-3 + -8v)' equal to zero and attempt to solve:

Simplifying
-3 + -8v = 0

Solving
-3 + -8v = 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 + -8v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8v = 0 + 3
-8v = 0 + 3

Combine like terms: 0 + 3 = 3
-8v = 3

Divide each side by '-8'.
v = -0.375

Simplifying
v = -0.375

Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-0.375, 3}

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