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

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


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

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

Multiply (-3 + 4v) * (7 + v)
(-3(7 + v) + 4v * (7 + v)) = 0
((7 * -3 + v * -3) + 4v * (7 + v)) = 0
((-21 + -3v) + 4v * (7 + v)) = 0
(-21 + -3v + (7 * 4v + v * 4v)) = 0
(-21 + -3v + (28v + 4v2)) = 0

Combine like terms: -3v + 28v = 25v
(-21 + 25v + 4v2) = 0

Solving
-21 + 25v + 4v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve:

Simplifying
3 + -4v = 0

Solving
3 + -4v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4v = 0 + -3
-4v = 0 + -3

Combine like terms: 0 + -3 = -3
-4v = -3

Divide each side by '-4'.
v = 0.75

Simplifying
v = 0.75
Solution
v = {-7, 0.75}

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