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

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


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

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

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

Combine like terms: 21v + 8v = 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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