(X-1)(x^2-2x-11)-16=0

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Solution for (X-1)(x^2-2x-11)-16=0 equation: 


Simplifying
(X + -1)(x2 + -2x + -11) + -16 = 0

Reorder the terms:
(-1 + X)(x2 + -2x + -11) + -16 = 0

Reorder the terms:
(-1 + X)(-11 + -2x + x2) + -16 = 0

Multiply (-1 + X) * (-11 + -2x + x2)
(-1(-11 + -2x + x2) + X(-11 + -2x + x2)) + -16 = 0
((-11 * -1 + -2x * -1 + x2 * -1) + X(-11 + -2x + x2)) + -16 = 0
((11 + 2x + -1x2) + X(-11 + -2x + x2)) + -16 = 0
(11 + 2x + -1x2 + (-11 * X + -2x * X + x2 * X)) + -16 = 0
(11 + 2x + -1x2 + (-11X + -2xX + x2X)) + -16 = 0

Reorder the terms:
(11 + -11X + 2x + -2xX + -1x2 + x2X) + -16 = 0
(11 + -11X + 2x + -2xX + -1x2 + x2X) + -16 = 0

Reorder the terms:
11 + -16 + -11X + 2x + -2xX + -1x2 + x2X = 0

Combine like terms: 11 + -16 = -5
-5 + -11X + 2x + -2xX + -1x2 + x2X = 0

Solving
-5 + -11X + 2x + -2xX + -1x2 + x2X = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + -11X + 2x + -2xX + -1x2 + 5 + x2X = 0 + 5

Reorder the terms:
-5 + 5 + -11X + 2x + -2xX + -1x2 + x2X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11X + 2x + -2xX + -1x2 + x2X = 0 + 5
-11X + 2x + -2xX + -1x2 + x2X = 0 + 5

Combine like terms: 0 + 5 = 5
-11X + 2x + -2xX + -1x2 + x2X = 5

Add '-2x' to each side of the equation.
-11X + 2x + -2xX + -1x2 + -2x + x2X = 5 + -2x

Reorder the terms:
-11X + 2x + -2x + -2xX + -1x2 + x2X = 5 + -2x

Combine like terms: 2x + -2x = 0
-11X + 0 + -2xX + -1x2 + x2X = 5 + -2x
-11X + -2xX + -1x2 + x2X = 5 + -2x

Add 'x2' to each side of the equation.
-11X + -2xX + -1x2 + x2 + x2X = 5 + -2x + x2

Combine like terms: -1x2 + x2 = 0
-11X + -2xX + 0 + x2X = 5 + -2x + x2
-11X + -2xX + x2X = 5 + -2x + x2

Reorder the terms:
-5 + -11X + 2x + -2xX + -1x2 + x2X = 5 + -2x + x2 + -5 + 2x + -1x2

Reorder the terms:
-5 + -11X + 2x + -2xX + -1x2 + x2X = 5 + -5 + -2x + 2x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + -11X + 2x + -2xX + -1x2 + x2X = 0 + -2x + 2x + x2 + -1x2
-5 + -11X + 2x + -2xX + -1x2 + x2X = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-5 + -11X + 2x + -2xX + -1x2 + x2X = 0 + x2 + -1x2
-5 + -11X + 2x + -2xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + -11X + 2x + -2xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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