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

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


Simplifying
5(-1v + -5) * 3(v + -8) = 0

Reorder the terms:
5(-5 + -1v) * 3(v + -8) = 0

Reorder the terms:
5(-5 + -1v) * 3(-8 + v) = 0

Reorder the terms for easier multiplication:
5 * 3(-5 + -1v)(-8 + v) = 0

Multiply 5 * 3
15(-5 + -1v)(-8 + v) = 0

Multiply (-5 + -1v) * (-8 + v)
15(-5(-8 + v) + -1v * (-8 + v)) = 0
15((-8 * -5 + v * -5) + -1v * (-8 + v)) = 0
15((40 + -5v) + -1v * (-8 + v)) = 0
15(40 + -5v + (-8 * -1v + v * -1v)) = 0
15(40 + -5v + (8v + -1v2)) = 0

Combine like terms: -5v + 8v = 3v
15(40 + 3v + -1v2) = 0
(40 * 15 + 3v * 15 + -1v2 * 15) = 0
(600 + 45v + -15v2) = 0

Solving
600 + 45v + -15v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '15'.
15(40 + 3v + -1v2) = 0

Factor a trinomial.
15((8 + -1v)(5 + v)) = 0

Ignore the factor 15.

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 '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

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

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

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

Simplifying
v = -5
Solution
v = {8, -5}

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