(4v-6)(8-v)=0

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Solution for (4v-6)(8-v)=0 equation: 


Simplifying
(4v + -6)(8 + -1v) = 0

Reorder the terms:
(-6 + 4v)(8 + -1v) = 0

Multiply (-6 + 4v) * (8 + -1v)
(-6(8 + -1v) + 4v * (8 + -1v)) = 0
((8 * -6 + -1v * -6) + 4v * (8 + -1v)) = 0
((-48 + 6v) + 4v * (8 + -1v)) = 0
(-48 + 6v + (8 * 4v + -1v * 4v)) = 0
(-48 + 6v + (32v + -4v2)) = 0

Combine like terms: 6v + 32v = 38v
(-48 + 38v + -4v2) = 0

Solving
-48 + 38v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 19v + -2v2) = 0

Factor a trinomial.
2((-8 + v)(3 + -2v)) = 0

Ignore the factor 2.

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

Simplifying
-8 + v = 0

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

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

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

Simplifying
v = 8

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

Simplifying
3 + -2v = 0

Solving
3 + -2v = 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 + -2v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2v = 0 + -3
-2v = 0 + -3

Combine like terms: 0 + -3 = -3
-2v = -3

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Solution
v = {8, 1.5}

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