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

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


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

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

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

Multiply (-2 + X) * (5 + -6x + x2)
(-2(5 + -6x + x2) + X(5 + -6x + x2)) = 0
((5 * -2 + -6x * -2 + x2 * -2) + X(5 + -6x + x2)) = 0
((-10 + 12x + -2x2) + X(5 + -6x + x2)) = 0
(-10 + 12x + -2x2 + (5 * X + -6x * X + x2 * X)) = 0
(-10 + 12x + -2x2 + (5X + -6xX + x2X)) = 0

Reorder the terms:
(-10 + 5X + 12x + -6xX + -2x2 + x2X) = 0
(-10 + 5X + 12x + -6xX + -2x2 + x2X) = 0

Solving
-10 + 5X + 12x + -6xX + -2x2 + x2X = 0

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 5X + 12x + -6xX + -2x2 + 10 + x2X = 0 + 10

Reorder the terms:
-10 + 10 + 5X + 12x + -6xX + -2x2 + x2X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5X + 12x + -6xX + -2x2 + x2X = 0 + 10
5X + 12x + -6xX + -2x2 + x2X = 0 + 10

Combine like terms: 0 + 10 = 10
5X + 12x + -6xX + -2x2 + x2X = 10

Add '-12x' to each side of the equation.
5X + 12x + -6xX + -2x2 + -12x + x2X = 10 + -12x

Reorder the terms:
5X + 12x + -12x + -6xX + -2x2 + x2X = 10 + -12x

Combine like terms: 12x + -12x = 0
5X + 0 + -6xX + -2x2 + x2X = 10 + -12x
5X + -6xX + -2x2 + x2X = 10 + -12x

Add '2x2' to each side of the equation.
5X + -6xX + -2x2 + 2x2 + x2X = 10 + -12x + 2x2

Combine like terms: -2x2 + 2x2 = 0
5X + -6xX + 0 + x2X = 10 + -12x + 2x2
5X + -6xX + x2X = 10 + -12x + 2x2

Reorder the terms:
-10 + 5X + 12x + -6xX + -2x2 + x2X = 10 + -12x + 2x2 + -10 + 12x + -2x2

Reorder the terms:
-10 + 5X + 12x + -6xX + -2x2 + x2X = 10 + -10 + -12x + 12x + 2x2 + -2x2

Combine like terms: 10 + -10 = 0
-10 + 5X + 12x + -6xX + -2x2 + x2X = 0 + -12x + 12x + 2x2 + -2x2
-10 + 5X + 12x + -6xX + -2x2 + x2X = -12x + 12x + 2x2 + -2x2

Combine like terms: -12x + 12x = 0
-10 + 5X + 12x + -6xX + -2x2 + x2X = 0 + 2x2 + -2x2
-10 + 5X + 12x + -6xX + -2x2 + x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + 5X + 12x + -6xX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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