(2X+3)(6x+1)=(3x-2)(4x-3)

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


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

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

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

Multiply (3 + 2X) * (1 + 6x)
(3(1 + 6x) + 2X * (1 + 6x)) = (3x + -2)(4x + -3)
((1 * 3 + 6x * 3) + 2X * (1 + 6x)) = (3x + -2)(4x + -3)
((3 + 18x) + 2X * (1 + 6x)) = (3x + -2)(4x + -3)
(3 + 18x + (1 * 2X + 6x * 2X)) = (3x + -2)(4x + -3)
(3 + 18x + (2X + 12xX)) = (3x + -2)(4x + -3)

Reorder the terms:
(3 + 2X + 18x + 12xX) = (3x + -2)(4x + -3)
(3 + 2X + 18x + 12xX) = (3x + -2)(4x + -3)

Reorder the terms:
3 + 2X + 18x + 12xX = (-2 + 3x)(4x + -3)

Reorder the terms:
3 + 2X + 18x + 12xX = (-2 + 3x)(-3 + 4x)

Multiply (-2 + 3x) * (-3 + 4x)
3 + 2X + 18x + 12xX = (-2(-3 + 4x) + 3x * (-3 + 4x))
3 + 2X + 18x + 12xX = ((-3 * -2 + 4x * -2) + 3x * (-3 + 4x))
3 + 2X + 18x + 12xX = ((6 + -8x) + 3x * (-3 + 4x))
3 + 2X + 18x + 12xX = (6 + -8x + (-3 * 3x + 4x * 3x))
3 + 2X + 18x + 12xX = (6 + -8x + (-9x + 12x2))

Combine like terms: -8x + -9x = -17x
3 + 2X + 18x + 12xX = (6 + -17x + 12x2)

Solving
3 + 2X + 18x + 12xX = 6 + -17x + 12x2

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + 2X + 18x + -3 + 12xX = 6 + -17x + -3 + 12x2

Reorder the terms:
3 + -3 + 2X + 18x + 12xX = 6 + -17x + -3 + 12x2

Combine like terms: 3 + -3 = 0
0 + 2X + 18x + 12xX = 6 + -17x + -3 + 12x2
2X + 18x + 12xX = 6 + -17x + -3 + 12x2

Reorder the terms:
2X + 18x + 12xX = 6 + -3 + -17x + 12x2

Combine like terms: 6 + -3 = 3
2X + 18x + 12xX = 3 + -17x + 12x2

Add '-18x' to each side of the equation.
2X + 18x + -18x + 12xX = 3 + -17x + -18x + 12x2

Combine like terms: 18x + -18x = 0
2X + 0 + 12xX = 3 + -17x + -18x + 12x2
2X + 12xX = 3 + -17x + -18x + 12x2

Combine like terms: -17x + -18x = -35x
2X + 12xX = 3 + -35x + 12x2

Reorder the terms:
-3 + 2X + 35x + 12xX + -12x2 = 3 + -35x + 12x2 + -3 + 35x + -12x2

Reorder the terms:
-3 + 2X + 35x + 12xX + -12x2 = 3 + -3 + -35x + 35x + 12x2 + -12x2

Combine like terms: 3 + -3 = 0
-3 + 2X + 35x + 12xX + -12x2 = 0 + -35x + 35x + 12x2 + -12x2
-3 + 2X + 35x + 12xX + -12x2 = -35x + 35x + 12x2 + -12x2

Combine like terms: -35x + 35x = 0
-3 + 2X + 35x + 12xX + -12x2 = 0 + 12x2 + -12x2
-3 + 2X + 35x + 12xX + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-3 + 2X + 35x + 12xX + -12x2 = 0

The solution to this equation could not be determined.

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