(X+6)(x-3)=x(x+1)

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Solution for (X+6)(x-3)=x(x+1) equation: 


Simplifying
(X + 6)(x + -3) = x(x + 1)

Reorder the terms:
(6 + X)(x + -3) = x(x + 1)

Reorder the terms:
(6 + X)(-3 + x) = x(x + 1)

Multiply (6 + X) * (-3 + x)
(6(-3 + x) + X(-3 + x)) = x(x + 1)
((-3 * 6 + x * 6) + X(-3 + x)) = x(x + 1)
((-18 + 6x) + X(-3 + x)) = x(x + 1)
(-18 + 6x + (-3 * X + x * X)) = x(x + 1)
(-18 + 6x + (-3X + xX)) = x(x + 1)

Reorder the terms:
(-18 + -3X + 6x + xX) = x(x + 1)
(-18 + -3X + 6x + xX) = x(x + 1)

Reorder the terms:
-18 + -3X + 6x + xX = x(1 + x)
-18 + -3X + 6x + xX = (1 * x + x * x)
-18 + -3X + 6x + xX = (1x + x2)

Solving
-18 + -3X + 6x + xX = 1x + x2

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + -3X + 6x + 18 + xX = 1x + 18 + x2

Reorder the terms:
-18 + 18 + -3X + 6x + xX = 1x + 18 + x2

Combine like terms: -18 + 18 = 0
0 + -3X + 6x + xX = 1x + 18 + x2
-3X + 6x + xX = 1x + 18 + x2

Reorder the terms:
-3X + 6x + xX = 18 + 1x + x2

Add '-6x' to each side of the equation.
-3X + 6x + -6x + xX = 18 + 1x + -6x + x2

Combine like terms: 6x + -6x = 0
-3X + 0 + xX = 18 + 1x + -6x + x2
-3X + xX = 18 + 1x + -6x + x2

Combine like terms: 1x + -6x = -5x
-3X + xX = 18 + -5x + x2

Reorder the terms:
-18 + -3X + 5x + xX + -1x2 = 18 + -5x + x2 + -18 + 5x + -1x2

Reorder the terms:
-18 + -3X + 5x + xX + -1x2 = 18 + -18 + -5x + 5x + x2 + -1x2

Combine like terms: 18 + -18 = 0
-18 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-18 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-18 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2
-18 + -3X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + -3X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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