(X+6)(x+1)=x(x+8)

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Solution for (X+6)(x+1)=x(x+8) equation: 


Simplifying
(X + 6)(x + 1) = x(x + 8)

Reorder the terms:
(6 + X)(x + 1) = x(x + 8)

Reorder the terms:
(6 + X)(1 + x) = x(x + 8)

Multiply (6 + X) * (1 + x)
(6(1 + x) + X(1 + x)) = x(x + 8)
((1 * 6 + x * 6) + X(1 + x)) = x(x + 8)
((6 + 6x) + X(1 + x)) = x(x + 8)
(6 + 6x + (1 * X + x * X)) = x(x + 8)
(6 + 6x + (1X + xX)) = x(x + 8)

Reorder the terms:
(6 + 1X + 6x + xX) = x(x + 8)
(6 + 1X + 6x + xX) = x(x + 8)

Reorder the terms:
6 + 1X + 6x + xX = x(8 + x)
6 + 1X + 6x + xX = (8 * x + x * x)
6 + 1X + 6x + xX = (8x + x2)

Solving
6 + 1X + 6x + xX = 8x + x2

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 1X + 6x + -6 + xX = 8x + -6 + x2

Reorder the terms:
6 + -6 + 1X + 6x + xX = 8x + -6 + x2

Combine like terms: 6 + -6 = 0
0 + 1X + 6x + xX = 8x + -6 + x2
1X + 6x + xX = 8x + -6 + x2

Reorder the terms:
1X + 6x + xX = -6 + 8x + x2

Add '-6x' to each side of the equation.
1X + 6x + -6x + xX = -6 + 8x + -6x + x2

Combine like terms: 6x + -6x = 0
1X + 0 + xX = -6 + 8x + -6x + x2
1X + xX = -6 + 8x + -6x + x2

Combine like terms: 8x + -6x = 2x
1X + xX = -6 + 2x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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