(X-5)(x^2-2x-6)=

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Solution for (X-5)(x^2-2x-6)= equation: 


Simplifying
(X + -5)(x2 + -2x + -6) = 0

Reorder the terms:
(-5 + X)(x2 + -2x + -6) = 0

Reorder the terms:
(-5 + X)(-6 + -2x + x2) = 0

Multiply (-5 + X) * (-6 + -2x + x2)
(-5(-6 + -2x + x2) + X(-6 + -2x + x2)) = 0
((-6 * -5 + -2x * -5 + x2 * -5) + X(-6 + -2x + x2)) = 0
((30 + 10x + -5x2) + X(-6 + -2x + x2)) = 0
(30 + 10x + -5x2 + (-6 * X + -2x * X + x2 * X)) = 0
(30 + 10x + -5x2 + (-6X + -2xX + x2X)) = 0

Reorder the terms:
(30 + -6X + 10x + -2xX + -5x2 + x2X) = 0
(30 + -6X + 10x + -2xX + -5x2 + x2X) = 0

Solving
30 + -6X + 10x + -2xX + -5x2 + x2X = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + -6X + 10x + -2xX + -5x2 + -30 + x2X = 0 + -30

Reorder the terms:
30 + -30 + -6X + 10x + -2xX + -5x2 + x2X = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6X + 10x + -2xX + -5x2 + x2X = 0 + -30
-6X + 10x + -2xX + -5x2 + x2X = 0 + -30

Combine like terms: 0 + -30 = -30
-6X + 10x + -2xX + -5x2 + x2X = -30

Add '-10x' to each side of the equation.
-6X + 10x + -2xX + -5x2 + -10x + x2X = -30 + -10x

Reorder the terms:
-6X + 10x + -10x + -2xX + -5x2 + x2X = -30 + -10x

Combine like terms: 10x + -10x = 0
-6X + 0 + -2xX + -5x2 + x2X = -30 + -10x
-6X + -2xX + -5x2 + x2X = -30 + -10x

Add '5x2' to each side of the equation.
-6X + -2xX + -5x2 + 5x2 + x2X = -30 + -10x + 5x2

Combine like terms: -5x2 + 5x2 = 0
-6X + -2xX + 0 + x2X = -30 + -10x + 5x2
-6X + -2xX + x2X = -30 + -10x + 5x2

Reorder the terms:
30 + -6X + 10x + -2xX + -5x2 + x2X = -30 + -10x + 5x2 + 30 + 10x + -5x2

Reorder the terms:
30 + -6X + 10x + -2xX + -5x2 + x2X = -30 + 30 + -10x + 10x + 5x2 + -5x2

Combine like terms: -30 + 30 = 0
30 + -6X + 10x + -2xX + -5x2 + x2X = 0 + -10x + 10x + 5x2 + -5x2
30 + -6X + 10x + -2xX + -5x2 + x2X = -10x + 10x + 5x2 + -5x2

Combine like terms: -10x + 10x = 0
30 + -6X + 10x + -2xX + -5x2 + x2X = 0 + 5x2 + -5x2
30 + -6X + 10x + -2xX + -5x2 + x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
30 + -6X + 10x + -2xX + -5x2 + x2X = 0

The solution to this equation could not be determined.

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