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

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


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

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

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

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

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

Reorder the terms:
-8 + -2X + 4x + xX = x(6 + x)
-8 + -2X + 4x + xX = (6 * x + x * x)
-8 + -2X + 4x + xX = (6x + x2)

Solving
-8 + -2X + 4x + xX = 6x + x2

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -2X + 4x + 8 + xX = 6x + 8 + x2

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

Combine like terms: -8 + 8 = 0
0 + -2X + 4x + xX = 6x + 8 + x2
-2X + 4x + xX = 6x + 8 + x2

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

Add '-4x' to each side of the equation.
-2X + 4x + -4x + xX = 8 + 6x + -4x + x2

Combine like terms: 4x + -4x = 0
-2X + 0 + xX = 8 + 6x + -4x + x2
-2X + xX = 8 + 6x + -4x + x2

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

Reorder the terms:
-8 + -2X + -2x + xX + -1x2 = 8 + 2x + x2 + -8 + -2x + -1x2

Reorder the terms:
-8 + -2X + -2x + xX + -1x2 = 8 + -8 + 2x + -2x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + -2X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
-8 + -2X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-8 + -2X + -2x + xX + -1x2 = 0 + x2 + -1x2
-8 + -2X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -2X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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