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

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


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

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

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

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

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

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

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

Multiply (-1 + 3x) * (-2 + x)
-4 + -4X + 2x + 2xX = (-1(-2 + x) + 3x * (-2 + x))
-4 + -4X + 2x + 2xX = ((-2 * -1 + x * -1) + 3x * (-2 + x))
-4 + -4X + 2x + 2xX = ((2 + -1x) + 3x * (-2 + x))
-4 + -4X + 2x + 2xX = (2 + -1x + (-2 * 3x + x * 3x))
-4 + -4X + 2x + 2xX = (2 + -1x + (-6x + 3x2))

Combine like terms: -1x + -6x = -7x
-4 + -4X + 2x + 2xX = (2 + -7x + 3x2)

Solving
-4 + -4X + 2x + 2xX = 2 + -7x + 3x2

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -4X + 2x + 4 + 2xX = 2 + -7x + 4 + 3x2

Reorder the terms:
-4 + 4 + -4X + 2x + 2xX = 2 + -7x + 4 + 3x2

Combine like terms: -4 + 4 = 0
0 + -4X + 2x + 2xX = 2 + -7x + 4 + 3x2
-4X + 2x + 2xX = 2 + -7x + 4 + 3x2

Reorder the terms:
-4X + 2x + 2xX = 2 + 4 + -7x + 3x2

Combine like terms: 2 + 4 = 6
-4X + 2x + 2xX = 6 + -7x + 3x2

Add '-2x' to each side of the equation.
-4X + 2x + -2x + 2xX = 6 + -7x + -2x + 3x2

Combine like terms: 2x + -2x = 0
-4X + 0 + 2xX = 6 + -7x + -2x + 3x2
-4X + 2xX = 6 + -7x + -2x + 3x2

Combine like terms: -7x + -2x = -9x
-4X + 2xX = 6 + -9x + 3x2

Reorder the terms:
-6 + -4X + 9x + 2xX + -3x2 = 6 + -9x + 3x2 + -6 + 9x + -3x2

Reorder the terms:
-6 + -4X + 9x + 2xX + -3x2 = 6 + -6 + -9x + 9x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
-6 + -4X + 9x + 2xX + -3x2 = 0 + -9x + 9x + 3x2 + -3x2
-6 + -4X + 9x + 2xX + -3x2 = -9x + 9x + 3x2 + -3x2

Combine like terms: -9x + 9x = 0
-6 + -4X + 9x + 2xX + -3x2 = 0 + 3x2 + -3x2
-6 + -4X + 9x + 2xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + -4X + 9x + 2xX + -3x2 = 0

The solution to this equation could not be determined.

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