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

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


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

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

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

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

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

Reorder the terms:
-2 + -1x + x2 = (4 + 2X)(3X + 2)

Reorder the terms:
-2 + -1x + x2 = (4 + 2X)(2 + 3X)

Multiply (4 + 2X) * (2 + 3X)
-2 + -1x + x2 = (4(2 + 3X) + 2X * (2 + 3X))
-2 + -1x + x2 = ((2 * 4 + 3X * 4) + 2X * (2 + 3X))
-2 + -1x + x2 = ((8 + 12X) + 2X * (2 + 3X))
-2 + -1x + x2 = (8 + 12X + (2 * 2X + 3X * 2X))
-2 + -1x + x2 = (8 + 12X + (4X + 6X2))

Combine like terms: 12X + 4X = 16X
-2 + -1x + x2 = (8 + 16X + 6X2)

Solving
-2 + -1x + x2 = 8 + 16X + 6X2

Solving for variable 'x'.

Reorder the terms:
-2 + -8 + -16X + -6X2 + -1x + x2 = 8 + 16X + 6X2 + -8 + -16X + -6X2

Combine like terms: -2 + -8 = -10
-10 + -16X + -6X2 + -1x + x2 = 8 + 16X + 6X2 + -8 + -16X + -6X2

Reorder the terms:
-10 + -16X + -6X2 + -1x + x2 = 8 + -8 + 16X + -16X + 6X2 + -6X2

Combine like terms: 8 + -8 = 0
-10 + -16X + -6X2 + -1x + x2 = 0 + 16X + -16X + 6X2 + -6X2
-10 + -16X + -6X2 + -1x + x2 = 16X + -16X + 6X2 + -6X2

Combine like terms: 16X + -16X = 0
-10 + -16X + -6X2 + -1x + x2 = 0 + 6X2 + -6X2
-10 + -16X + -6X2 + -1x + x2 = 6X2 + -6X2

Combine like terms: 6X2 + -6X2 = 0
-10 + -16X + -6X2 + -1x + x2 = 0

The solution to this equation could not be determined.

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