(3x-1)(7x+6v+4)=Y

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Solution for (3x-1)(7x+6v+4)=Y equation:


Simplifying
(3x + -1)(7x + 6v + 4) = Y

Reorder the terms:
(-1 + 3x)(7x + 6v + 4) = Y

Reorder the terms:
(-1 + 3x)(4 + 6v + 7x) = Y

Multiply (-1 + 3x) * (4 + 6v + 7x)
(-1(4 + 6v + 7x) + 3x * (4 + 6v + 7x)) = Y
((4 * -1 + 6v * -1 + 7x * -1) + 3x * (4 + 6v + 7x)) = Y
((-4 + -6v + -7x) + 3x * (4 + 6v + 7x)) = Y
(-4 + -6v + -7x + (4 * 3x + 6v * 3x + 7x * 3x)) = Y

Reorder the terms:
(-4 + -6v + -7x + (18vx + 12x + 21x2)) = Y
(-4 + -6v + -7x + (18vx + 12x + 21x2)) = Y

Reorder the terms:
(-4 + -6v + 18vx + -7x + 12x + 21x2) = Y

Combine like terms: -7x + 12x = 5x
(-4 + -6v + 18vx + 5x + 21x2) = Y

Solving
-4 + -6v + 18vx + 5x + 21x2 = Y

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 + -6v + 18vx + 5x + 4 + 21x2 = 4 + Y

Reorder the terms:
-4 + 4 + -6v + 18vx + 5x + 21x2 = 4 + Y

Combine like terms: -4 + 4 = 0
0 + -6v + 18vx + 5x + 21x2 = 4 + Y
-6v + 18vx + 5x + 21x2 = 4 + Y

Add '-5x' to each side of the equation.
-6v + 18vx + 5x + -5x + 21x2 = 4 + Y + -5x

Combine like terms: 5x + -5x = 0
-6v + 18vx + 0 + 21x2 = 4 + Y + -5x
-6v + 18vx + 21x2 = 4 + Y + -5x

Add '-21x2' to each side of the equation.
-6v + 18vx + 21x2 + -21x2 = 4 + Y + -5x + -21x2

Combine like terms: 21x2 + -21x2 = 0
-6v + 18vx + 0 = 4 + Y + -5x + -21x2
-6v + 18vx = 4 + Y + -5x + -21x2

Reorder the terms:
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 4 + Y + -5x + -21x2 + -4 + -1Y + 5x + 21x2

Reorder the terms:
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 4 + -4 + Y + -1Y + -5x + 5x + -21x2 + 21x2

Combine like terms: 4 + -4 = 0
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + Y + -1Y + -5x + 5x + -21x2 + 21x2
-4 + -1Y + -6v + 18vx + 5x + 21x2 = Y + -1Y + -5x + 5x + -21x2 + 21x2

Combine like terms: Y + -1Y = 0
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + -5x + 5x + -21x2 + 21x2
-4 + -1Y + -6v + 18vx + 5x + 21x2 = -5x + 5x + -21x2 + 21x2

Combine like terms: -5x + 5x = 0
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 0 + -21x2 + 21x2
-4 + -1Y + -6v + 18vx + 5x + 21x2 = -21x2 + 21x2

Combine like terms: -21x2 + 21x2 = 0
-4 + -1Y + -6v + 18vx + 5x + 21x2 = 0

The solution to this equation could not be determined.

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