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

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


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

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

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

Multiply (-7 + v) * (-2 + 3v)
(-7(-2 + 3v) + v(-2 + 3v)) = 0
((-2 * -7 + 3v * -7) + v(-2 + 3v)) = 0
((14 + -21v) + v(-2 + 3v)) = 0
(14 + -21v + (-2 * v + 3v * v)) = 0
(14 + -21v + (-2v + 3v2)) = 0

Combine like terms: -21v + -2v = -23v
(14 + -23v + 3v2) = 0

Solving
14 + -23v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -3v)(7 + -1v) = 0


Subproblem 1
Set the factor '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3v = 0 + -2

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

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

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667

Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 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 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {0.6666666667, 7}

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