(3v-8)(7-v)=0

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Solution for (3v-8)(7-v)=0 equation: 


Simplifying
(3v + -8)(7 + -1v) = 0

Reorder the terms:
(-8 + 3v)(7 + -1v) = 0

Multiply (-8 + 3v) * (7 + -1v)
(-8(7 + -1v) + 3v * (7 + -1v)) = 0
((7 * -8 + -1v * -8) + 3v * (7 + -1v)) = 0
((-56 + 8v) + 3v * (7 + -1v)) = 0
(-56 + 8v + (7 * 3v + -1v * 3v)) = 0
(-56 + 8v + (21v + -3v2)) = 0

Combine like terms: 8v + 21v = 29v
(-56 + 29v + -3v2) = 0

Solving
-56 + 29v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + v)(8 + -3v) = 0


Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve:

Simplifying
-7 + v = 0

Solving
-7 + v = 0

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

Add '7' to each side of the equation.
-7 + 7 + v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + v = 0 + 7
v = 0 + 7

Combine like terms: 0 + 7 = 7
v = 7

Simplifying
v = 7

Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve:

Simplifying
8 + -3v = 0

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

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

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

Divide each side by '-3'.
v = 2.666666667

Simplifying
v = 2.666666667
Solution
v = {7, 2.666666667}

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