3x(x+2)=(2x+8)(X+2)

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Solution for 3x(x+2)=(2x+8)(X+2) equation:


Simplifying
3x(x + 2) = (2x + 8)(X + 2)

Reorder the terms:
3x(2 + x) = (2x + 8)(X + 2)
(2 * 3x + x * 3x) = (2x + 8)(X + 2)
(6x + 3x2) = (2x + 8)(X + 2)

Reorder the terms:
6x + 3x2 = (8 + 2x)(X + 2)

Reorder the terms:
6x + 3x2 = (8 + 2x)(2 + X)

Multiply (8 + 2x) * (2 + X)
6x + 3x2 = (8(2 + X) + 2x * (2 + X))
6x + 3x2 = ((2 * 8 + X * 8) + 2x * (2 + X))
6x + 3x2 = ((16 + 8X) + 2x * (2 + X))
6x + 3x2 = (16 + 8X + (2 * 2x + X * 2x))
6x + 3x2 = (16 + 8X + (4x + 2xX))
6x + 3x2 = (16 + 8X + 4x + 2xX)

Solving
6x + 3x2 = 16 + 8X + 4x + 2xX

Solving for variable 'x'.

Reorder the terms:
-16 + -8X + 6x + -4x + -2xX + 3x2 = 16 + 8X + 4x + 2xX + -16 + -8X + -4x + -2xX

Combine like terms: 6x + -4x = 2x
-16 + -8X + 2x + -2xX + 3x2 = 16 + 8X + 4x + 2xX + -16 + -8X + -4x + -2xX

Reorder the terms:
-16 + -8X + 2x + -2xX + 3x2 = 16 + -16 + 8X + -8X + 4x + -4x + 2xX + -2xX

Combine like terms: 16 + -16 = 0
-16 + -8X + 2x + -2xX + 3x2 = 0 + 8X + -8X + 4x + -4x + 2xX + -2xX
-16 + -8X + 2x + -2xX + 3x2 = 8X + -8X + 4x + -4x + 2xX + -2xX

Combine like terms: 8X + -8X = 0
-16 + -8X + 2x + -2xX + 3x2 = 0 + 4x + -4x + 2xX + -2xX
-16 + -8X + 2x + -2xX + 3x2 = 4x + -4x + 2xX + -2xX

Combine like terms: 4x + -4x = 0
-16 + -8X + 2x + -2xX + 3x2 = 0 + 2xX + -2xX
-16 + -8X + 2x + -2xX + 3x2 = 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
-16 + -8X + 2x + -2xX + 3x2 = 0

The solution to this equation could not be determined.

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