(4+v)(3v-7)=0

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Solution for (4+v)(3v-7)=0 equation: 


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

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

Multiply (4 + v) * (-7 + 3v)
(4(-7 + 3v) + v(-7 + 3v)) = 0
((-7 * 4 + 3v * 4) + v(-7 + 3v)) = 0
((-28 + 12v) + v(-7 + 3v)) = 0
(-28 + 12v + (-7 * v + 3v * v)) = 0
(-28 + 12v + (-7v + 3v2)) = 0

Combine like terms: 12v + -7v = 5v
(-28 + 5v + 3v2) = 0

Solving
-28 + 5v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(7 + -3v) = 0


Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve:

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4

Subproblem 2
Set the factor '(7 + -3v)' equal to zero and attempt to solve:

Simplifying
7 + -3v = 0

Solving
7 + -3v = 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 + -3v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3v = 0 + -7
-3v = 0 + -7

Combine like terms: 0 + -7 = -7
-3v = -7

Divide each side by '-3'.
v = 2.333333333

Simplifying
v = 2.333333333
Solution
v = {-4, 2.333333333}

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