(2v-7)(8-v)=0

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Solution for (2v-7)(8-v)=0 equation: 


Simplifying
(2v + -7)(8 + -1v) = 0

Reorder the terms:
(-7 + 2v)(8 + -1v) = 0

Multiply (-7 + 2v) * (8 + -1v)
(-7(8 + -1v) + 2v * (8 + -1v)) = 0
((8 * -7 + -1v * -7) + 2v * (8 + -1v)) = 0
((-56 + 7v) + 2v * (8 + -1v)) = 0
(-56 + 7v + (8 * 2v + -1v * 2v)) = 0
(-56 + 7v + (16v + -2v2)) = 0

Combine like terms: 7v + 16v = 23v
(-56 + 23v + -2v2) = 0

Solving
-56 + 23v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(7 + -2v) = 0


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 '(7 + -2v)' equal to zero and attempt to solve:

Simplifying
7 + -2v = 0

Solving
7 + -2v = 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 + -2v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2v = 0 + -7
-2v = 0 + -7

Combine like terms: 0 + -7 = -7
-2v = -7

Divide each side by '-2'.
v = 3.5

Simplifying
v = 3.5
Solution
v = {8, 3.5}

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