(6x-1)*(16X+7)=8*(4x+3)*(3x+2)

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Solution for (6x-1)*(16X+7)=8*(4x+3)*(3x+2) equation: 


Simplifying
(6x + -1)(16X + 7) = 8(4x + 3)(3x + 2)

Reorder the terms:
(-1 + 6x)(16X + 7) = 8(4x + 3)(3x + 2)

Reorder the terms:
(-1 + 6x)(7 + 16X) = 8(4x + 3)(3x + 2)

Multiply (-1 + 6x) * (7 + 16X)
(-1(7 + 16X) + 6x * (7 + 16X)) = 8(4x + 3)(3x + 2)
((7 * -1 + 16X * -1) + 6x * (7 + 16X)) = 8(4x + 3)(3x + 2)
((-7 + -16X) + 6x * (7 + 16X)) = 8(4x + 3)(3x + 2)
(-7 + -16X + (7 * 6x + 16X * 6x)) = 8(4x + 3)(3x + 2)
(-7 + -16X + (42x + 96xX)) = 8(4x + 3)(3x + 2)
(-7 + -16X + 42x + 96xX) = 8(4x + 3)(3x + 2)

Reorder the terms:
-7 + -16X + 42x + 96xX = 8(3 + 4x)(3x + 2)

Reorder the terms:
-7 + -16X + 42x + 96xX = 8(3 + 4x)(2 + 3x)

Multiply (3 + 4x) * (2 + 3x)
-7 + -16X + 42x + 96xX = 8(3(2 + 3x) + 4x * (2 + 3x))
-7 + -16X + 42x + 96xX = 8((2 * 3 + 3x * 3) + 4x * (2 + 3x))
-7 + -16X + 42x + 96xX = 8((6 + 9x) + 4x * (2 + 3x))
-7 + -16X + 42x + 96xX = 8(6 + 9x + (2 * 4x + 3x * 4x))
-7 + -16X + 42x + 96xX = 8(6 + 9x + (8x + 12x2))

Combine like terms: 9x + 8x = 17x
-7 + -16X + 42x + 96xX = 8(6 + 17x + 12x2)
-7 + -16X + 42x + 96xX = (6 * 8 + 17x * 8 + 12x2 * 8)
-7 + -16X + 42x + 96xX = (48 + 136x + 96x2)

Solving
-7 + -16X + 42x + 96xX = 48 + 136x + 96x2

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + -16X + 42x + 7 + 96xX = 48 + 136x + 7 + 96x2

Reorder the terms:
-7 + 7 + -16X + 42x + 96xX = 48 + 136x + 7 + 96x2

Combine like terms: -7 + 7 = 0
0 + -16X + 42x + 96xX = 48 + 136x + 7 + 96x2
-16X + 42x + 96xX = 48 + 136x + 7 + 96x2

Reorder the terms:
-16X + 42x + 96xX = 48 + 7 + 136x + 96x2

Combine like terms: 48 + 7 = 55
-16X + 42x + 96xX = 55 + 136x + 96x2

Add '-42x' to each side of the equation.
-16X + 42x + -42x + 96xX = 55 + 136x + -42x + 96x2

Combine like terms: 42x + -42x = 0
-16X + 0 + 96xX = 55 + 136x + -42x + 96x2
-16X + 96xX = 55 + 136x + -42x + 96x2

Combine like terms: 136x + -42x = 94x
-16X + 96xX = 55 + 94x + 96x2

Reorder the terms:
-55 + -16X + -94x + 96xX + -96x2 = 55 + 94x + 96x2 + -55 + -94x + -96x2

Reorder the terms:
-55 + -16X + -94x + 96xX + -96x2 = 55 + -55 + 94x + -94x + 96x2 + -96x2

Combine like terms: 55 + -55 = 0
-55 + -16X + -94x + 96xX + -96x2 = 0 + 94x + -94x + 96x2 + -96x2
-55 + -16X + -94x + 96xX + -96x2 = 94x + -94x + 96x2 + -96x2

Combine like terms: 94x + -94x = 0
-55 + -16X + -94x + 96xX + -96x2 = 0 + 96x2 + -96x2
-55 + -16X + -94x + 96xX + -96x2 = 96x2 + -96x2

Combine like terms: 96x2 + -96x2 = 0
-55 + -16X + -94x + 96xX + -96x2 = 0

The solution to this equation could not be determined.

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