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

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


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

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

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

Multiply (2 + -2v + 7x) * (2 + 3x)
(2(2 + 3x) + -2v * (2 + 3x) + 7x * (2 + 3x)) = 0
((2 * 2 + 3x * 2) + -2v * (2 + 3x) + 7x * (2 + 3x)) = 0
((4 + 6x) + -2v * (2 + 3x) + 7x * (2 + 3x)) = 0
(4 + 6x + (2 * -2v + 3x * -2v) + 7x * (2 + 3x)) = 0
(4 + 6x + (-4v + -6vx) + 7x * (2 + 3x)) = 0
(4 + 6x + -4v + -6vx + (2 * 7x + 3x * 7x)) = 0
(4 + 6x + -4v + -6vx + (14x + 21x2)) = 0

Reorder the terms:
(4 + -4v + -6vx + 6x + 14x + 21x2) = 0

Combine like terms: 6x + 14x = 20x
(4 + -4v + -6vx + 20x + 21x2) = 0

Solving
4 + -4v + -6vx + 20x + 21x2 = 0

Solving for variable 'v'.

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

Add '-4' to each side of the equation.
4 + -4v + -6vx + 20x + -4 + 21x2 = 0 + -4

Reorder the terms:
4 + -4 + -4v + -6vx + 20x + 21x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4v + -6vx + 20x + 21x2 = 0 + -4
-4v + -6vx + 20x + 21x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4v + -6vx + 20x + 21x2 = -4

Add '-20x' to each side of the equation.
-4v + -6vx + 20x + -20x + 21x2 = -4 + -20x

Combine like terms: 20x + -20x = 0
-4v + -6vx + 0 + 21x2 = -4 + -20x
-4v + -6vx + 21x2 = -4 + -20x

Add '-21x2' to each side of the equation.
-4v + -6vx + 21x2 + -21x2 = -4 + -20x + -21x2

Combine like terms: 21x2 + -21x2 = 0
-4v + -6vx + 0 = -4 + -20x + -21x2
-4v + -6vx = -4 + -20x + -21x2

Reorder the terms:
4 + -4v + -6vx + 20x + 21x2 = -4 + -20x + -21x2 + 4 + 20x + 21x2

Reorder the terms:
4 + -4v + -6vx + 20x + 21x2 = -4 + 4 + -20x + 20x + -21x2 + 21x2

Combine like terms: -4 + 4 = 0
4 + -4v + -6vx + 20x + 21x2 = 0 + -20x + 20x + -21x2 + 21x2
4 + -4v + -6vx + 20x + 21x2 = -20x + 20x + -21x2 + 21x2

Combine like terms: -20x + 20x = 0
4 + -4v + -6vx + 20x + 21x2 = 0 + -21x2 + 21x2
4 + -4v + -6vx + 20x + 21x2 = -21x2 + 21x2

Combine like terms: -21x2 + 21x2 = 0
4 + -4v + -6vx + 20x + 21x2 = 0

The solution to this equation could not be determined.

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