(X-1)(x^2-x-6)=0

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Solution for (X-1)(x^2-x-6)=0 equation: 


Simplifying
(X + -1)(x2 + -1x + -6) = 0

Reorder the terms:
(-1 + X)(x2 + -1x + -6) = 0

Reorder the terms:
(-1 + X)(-6 + -1x + x2) = 0

Multiply (-1 + X) * (-6 + -1x + x2)
(-1(-6 + -1x + x2) + X(-6 + -1x + x2)) = 0
((-6 * -1 + -1x * -1 + x2 * -1) + X(-6 + -1x + x2)) = 0
((6 + 1x + -1x2) + X(-6 + -1x + x2)) = 0
(6 + 1x + -1x2 + (-6 * X + -1x * X + x2 * X)) = 0
(6 + 1x + -1x2 + (-6X + -1xX + x2X)) = 0

Reorder the terms:
(6 + -6X + 1x + -1xX + -1x2 + x2X) = 0
(6 + -6X + 1x + -1xX + -1x2 + x2X) = 0

Solving
6 + -6X + 1x + -1xX + -1x2 + x2X = 0

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 + -6X + 1x + -1xX + -1x2 + -6 + x2X = 0 + -6

Reorder the terms:
6 + -6 + -6X + 1x + -1xX + -1x2 + x2X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6X + 1x + -1xX + -1x2 + x2X = 0 + -6
-6X + 1x + -1xX + -1x2 + x2X = 0 + -6

Combine like terms: 0 + -6 = -6
-6X + 1x + -1xX + -1x2 + x2X = -6

Add '-1x' to each side of the equation.
-6X + 1x + -1xX + -1x2 + -1x + x2X = -6 + -1x

Reorder the terms:
-6X + 1x + -1x + -1xX + -1x2 + x2X = -6 + -1x

Combine like terms: 1x + -1x = 0
-6X + 0 + -1xX + -1x2 + x2X = -6 + -1x
-6X + -1xX + -1x2 + x2X = -6 + -1x

Add 'x2' to each side of the equation.
-6X + -1xX + -1x2 + x2 + x2X = -6 + -1x + x2

Combine like terms: -1x2 + x2 = 0
-6X + -1xX + 0 + x2X = -6 + -1x + x2
-6X + -1xX + x2X = -6 + -1x + x2

Reorder the terms:
6 + -6X + x + -1xX + -1x2 + x2X = -6 + -1x + x2 + 6 + x + -1x2

Reorder the terms:
6 + -6X + x + -1xX + -1x2 + x2X = -6 + 6 + -1x + x + x2 + -1x2

Combine like terms: -6 + 6 = 0
6 + -6X + x + -1xX + -1x2 + x2X = 0 + -1x + x + x2 + -1x2
6 + -6X + x + -1xX + -1x2 + x2X = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
6 + -6X + x + -1xX + -1x2 + x2X = 0 + x2 + -1x2
6 + -6X + x + -1xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -6X + x + -1xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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