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

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


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

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

Reorder the terms:
6X + xX + x(4 + x) + x(x + 2) = x
6X + xX + (4 * x + x * x) + x(x + 2) = x
6X + xX + (4x + x2) + x(x + 2) = x

Reorder the terms:
6X + xX + 4x + x2 + x(2 + x) = x
6X + xX + 4x + x2 + (2 * x + x * x) = x
6X + xX + 4x + x2 + (2x + x2) = x

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

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

Combine like terms: x2 + x2 = 2x2
6X + 6x + xX + 2x2 = x

Solving
6X + 6x + xX + 2x2 = x

Solving for variable 'X'.

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

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

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

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

Combine like terms: x + -6x = -5x
6X + xX + 2x2 = -5x

Add '-2x2' to each side of the equation.
6X + xX + 2x2 + -2x2 = -5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
6X + xX + 0 = -5x + -2x2
6X + xX = -5x + -2x2

Reorder the terms:
6X + 5x + xX + 2x2 = -5x + -2x2 + 5x + 2x2

Reorder the terms:
6X + 5x + xX + 2x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
6X + 5x + xX + 2x2 = 0 + -2x2 + 2x2
6X + 5x + xX + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
6X + 5x + xX + 2x2 = 0

The solution to this equation could not be determined.

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