X(x+2)-x(x-6)=-4(x+1)

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Solution for X(x+2)-x(x-6)=-4(x+1) equation: 


Simplifying
X(x + 2) + -1x(x + -6) = -4(x + 1)

Reorder the terms:
X(2 + x) + -1x(x + -6) = -4(x + 1)
(2 * X + x * X) + -1x(x + -6) = -4(x + 1)
(2X + xX) + -1x(x + -6) = -4(x + 1)

Reorder the terms:
2X + xX + -1x(-6 + x) = -4(x + 1)
2X + xX + (-6 * -1x + x * -1x) = -4(x + 1)
2X + xX + (6x + -1x2) = -4(x + 1)

Reorder the terms:
2X + 6x + xX + -1x2 = -4(x + 1)

Reorder the terms:
2X + 6x + xX + -1x2 = -4(1 + x)
2X + 6x + xX + -1x2 = (1 * -4 + x * -4)
2X + 6x + xX + -1x2 = (-4 + -4x)

Solving
2X + 6x + xX + -1x2 = -4 + -4x

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.
2X + 6x + xX + -6x + -1x2 = -4 + -4x + -6x

Reorder the terms:
2X + 6x + -6x + xX + -1x2 = -4 + -4x + -6x

Combine like terms: 6x + -6x = 0
2X + 0 + xX + -1x2 = -4 + -4x + -6x
2X + xX + -1x2 = -4 + -4x + -6x

Combine like terms: -4x + -6x = -10x
2X + xX + -1x2 = -4 + -10x

Add 'x2' to each side of the equation.
2X + xX + -1x2 + x2 = -4 + -10x + x2

Combine like terms: -1x2 + x2 = 0
2X + xX + 0 = -4 + -10x + x2
2X + xX = -4 + -10x + x2

Reorder the terms:
4 + 2X + 10x + xX + -1x2 = -4 + -10x + x2 + 4 + 10x + -1x2

Reorder the terms:
4 + 2X + 10x + xX + -1x2 = -4 + 4 + -10x + 10x + x2 + -1x2

Combine like terms: -4 + 4 = 0
4 + 2X + 10x + xX + -1x2 = 0 + -10x + 10x + x2 + -1x2
4 + 2X + 10x + xX + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
4 + 2X + 10x + xX + -1x2 = 0 + x2 + -1x2
4 + 2X + 10x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 2X + 10x + xX + -1x2 = 0

The solution to this equation could not be determined.

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