-5(v+6)(-v+8)=0

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Solution for -5(v+6)(-v+8)=0 equation: 


Simplifying
-5(v + 6)(-1v + 8) = 0

Reorder the terms:
-5(6 + v)(-1v + 8) = 0

Reorder the terms:
-5(6 + v)(8 + -1v) = 0

Multiply (6 + v) * (8 + -1v)
-5(6(8 + -1v) + v(8 + -1v)) = 0
-5((8 * 6 + -1v * 6) + v(8 + -1v)) = 0
-5((48 + -6v) + v(8 + -1v)) = 0
-5(48 + -6v + (8 * v + -1v * v)) = 0
-5(48 + -6v + (8v + -1v2)) = 0

Combine like terms: -6v + 8v = 2v
-5(48 + 2v + -1v2) = 0
(48 * -5 + 2v * -5 + -1v2 * -5) = 0
(-240 + -10v + 5v2) = 0

Solving
-240 + -10v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-48 + -2v + v2) = 0

Factor a trinomial.
5((-6 + -1v)(8 + -1v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

Simplifying
v = -6

Subproblem 2
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
Solution
v = {-6, 8}

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