(8v+5)(3v-9)=0

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Solution for (8v+5)(3v-9)=0 equation: 


Simplifying
(8v + 5)(3v + -9) = 0

Reorder the terms:
(5 + 8v)(3v + -9) = 0

Reorder the terms:
(5 + 8v)(-9 + 3v) = 0

Multiply (5 + 8v) * (-9 + 3v)
(5(-9 + 3v) + 8v * (-9 + 3v)) = 0
((-9 * 5 + 3v * 5) + 8v * (-9 + 3v)) = 0
((-45 + 15v) + 8v * (-9 + 3v)) = 0
(-45 + 15v + (-9 * 8v + 3v * 8v)) = 0
(-45 + 15v + (-72v + 24v2)) = 0

Combine like terms: 15v + -72v = -57v
(-45 + -57v + 24v2) = 0

Solving
-45 + -57v + 24v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -19v + 8v2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -8v)' equal to zero and attempt to solve:

Simplifying
-5 + -8v = 0

Solving
-5 + -8v = 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 + -8v = 0 + 5

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

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

Divide each side by '-8'.
v = -0.625

Simplifying
v = -0.625

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 = {-0.625, 3}

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