X(x+2)=(x+4)(x-6)+8

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Solution for X(x+2)=(x+4)(x-6)+8 equation: 


Simplifying
X(x + 2) = (x + 4)(x + -6) + 8

Reorder the terms:
X(2 + x) = (x + 4)(x + -6) + 8
(2 * X + x * X) = (x + 4)(x + -6) + 8
(2X + xX) = (x + 4)(x + -6) + 8

Reorder the terms:
2X + xX = (4 + x)(x + -6) + 8

Reorder the terms:
2X + xX = (4 + x)(-6 + x) + 8

Multiply (4 + x) * (-6 + x)
2X + xX = (4(-6 + x) + x(-6 + x)) + 8
2X + xX = ((-6 * 4 + x * 4) + x(-6 + x)) + 8
2X + xX = ((-24 + 4x) + x(-6 + x)) + 8
2X + xX = (-24 + 4x + (-6 * x + x * x)) + 8
2X + xX = (-24 + 4x + (-6x + x2)) + 8

Combine like terms: 4x + -6x = -2x
2X + xX = (-24 + -2x + x2) + 8

Reorder the terms:
2X + xX = -24 + 8 + -2x + x2

Combine like terms: -24 + 8 = -16
2X + xX = -16 + -2x + x2

Solving
2X + xX = -16 + -2x + x2

Solving for variable 'X'.

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

Reorder the terms:
16 + 2X + 2x + xX + -1x2 = -16 + -2x + x2 + 16 + 2x + -1x2

Reorder the terms:
16 + 2X + 2x + xX + -1x2 = -16 + 16 + -2x + 2x + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + 2X + 2x + xX + -1x2 = 0 + -2x + 2x + x2 + -1x2
16 + 2X + 2x + xX + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
16 + 2X + 2x + xX + -1x2 = 0 + x2 + -1x2
16 + 2X + 2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 2X + 2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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