(2v-7)(3v-8)=0

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Solution for (2v-7)(3v-8)=0 equation: 


Simplifying
(2v + -7)(3v + -8) = 0

Reorder the terms:
(-7 + 2v)(3v + -8) = 0

Reorder the terms:
(-7 + 2v)(-8 + 3v) = 0

Multiply (-7 + 2v) * (-8 + 3v)
(-7(-8 + 3v) + 2v * (-8 + 3v)) = 0
((-8 * -7 + 3v * -7) + 2v * (-8 + 3v)) = 0
((56 + -21v) + 2v * (-8 + 3v)) = 0
(56 + -21v + (-8 * 2v + 3v * 2v)) = 0
(56 + -21v + (-16v + 6v2)) = 0

Combine like terms: -21v + -16v = -37v
(56 + -37v + 6v2) = 0

Solving
56 + -37v + 6v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + -3v)(7 + -2v) = 0


Subproblem 1
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

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 = {2.666666667, 3.5}

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