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

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


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

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

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

Multiply (2 + X) * (-4 + x)
(2(-4 + x) + X(-4 + x)) = (2x + 1)(x + -4)
((-4 * 2 + x * 2) + X(-4 + x)) = (2x + 1)(x + -4)
((-8 + 2x) + X(-4 + x)) = (2x + 1)(x + -4)
(-8 + 2x + (-4 * X + x * X)) = (2x + 1)(x + -4)
(-8 + 2x + (-4X + xX)) = (2x + 1)(x + -4)

Reorder the terms:
(-8 + -4X + 2x + xX) = (2x + 1)(x + -4)
(-8 + -4X + 2x + xX) = (2x + 1)(x + -4)

Reorder the terms:
-8 + -4X + 2x + xX = (1 + 2x)(x + -4)

Reorder the terms:
-8 + -4X + 2x + xX = (1 + 2x)(-4 + x)

Multiply (1 + 2x) * (-4 + x)
-8 + -4X + 2x + xX = (1(-4 + x) + 2x * (-4 + x))
-8 + -4X + 2x + xX = ((-4 * 1 + x * 1) + 2x * (-4 + x))
-8 + -4X + 2x + xX = ((-4 + 1x) + 2x * (-4 + x))
-8 + -4X + 2x + xX = (-4 + 1x + (-4 * 2x + x * 2x))
-8 + -4X + 2x + xX = (-4 + 1x + (-8x + 2x2))

Combine like terms: 1x + -8x = -7x
-8 + -4X + 2x + xX = (-4 + -7x + 2x2)

Solving
-8 + -4X + 2x + xX = -4 + -7x + 2x2

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -4X + 2x + 8 + xX = -4 + -7x + 8 + 2x2

Reorder the terms:
-8 + 8 + -4X + 2x + xX = -4 + -7x + 8 + 2x2

Combine like terms: -8 + 8 = 0
0 + -4X + 2x + xX = -4 + -7x + 8 + 2x2
-4X + 2x + xX = -4 + -7x + 8 + 2x2

Reorder the terms:
-4X + 2x + xX = -4 + 8 + -7x + 2x2

Combine like terms: -4 + 8 = 4
-4X + 2x + xX = 4 + -7x + 2x2

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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