(X^2-2x+7)(x-2)=

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Solution for (X^2-2x+7)(x-2)= equation: 


Simplifying
(X2 + -2x + 7)(x + -2) = 0

Reorder the terms:
(7 + X2 + -2x)(x + -2) = 0

Reorder the terms:
(7 + X2 + -2x)(-2 + x) = 0

Multiply (7 + X2 + -2x) * (-2 + x)
(7(-2 + x) + X2(-2 + x) + -2x * (-2 + x)) = 0
((-2 * 7 + x * 7) + X2(-2 + x) + -2x * (-2 + x)) = 0
((-14 + 7x) + X2(-2 + x) + -2x * (-2 + x)) = 0
(-14 + 7x + (-2 * X2 + x * X2) + -2x * (-2 + x)) = 0
(-14 + 7x + (-2X2 + xX2) + -2x * (-2 + x)) = 0
(-14 + 7x + -2X2 + xX2 + (-2 * -2x + x * -2x)) = 0
(-14 + 7x + -2X2 + xX2 + (4x + -2x2)) = 0

Reorder the terms:
(-14 + -2X2 + 7x + 4x + xX2 + -2x2) = 0

Combine like terms: 7x + 4x = 11x
(-14 + -2X2 + 11x + xX2 + -2x2) = 0

Solving
-14 + -2X2 + 11x + xX2 + -2x2 = 0

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + -2X2 + 11x + xX2 + 14 + -2x2 = 0 + 14

Reorder the terms:
-14 + 14 + -2X2 + 11x + xX2 + -2x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -2X2 + 11x + xX2 + -2x2 = 0 + 14
-2X2 + 11x + xX2 + -2x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-2X2 + 11x + xX2 + -2x2 = 14

Add '-11x' to each side of the equation.
-2X2 + 11x + xX2 + -11x + -2x2 = 14 + -11x

Reorder the terms:
-2X2 + 11x + -11x + xX2 + -2x2 = 14 + -11x

Combine like terms: 11x + -11x = 0
-2X2 + 0 + xX2 + -2x2 = 14 + -11x
-2X2 + xX2 + -2x2 = 14 + -11x

Add '2x2' to each side of the equation.
-2X2 + xX2 + -2x2 + 2x2 = 14 + -11x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-2X2 + xX2 + 0 = 14 + -11x + 2x2
-2X2 + xX2 = 14 + -11x + 2x2

Reorder the terms:
-14 + -2X2 + 11x + xX2 + -2x2 = 14 + -11x + 2x2 + -14 + 11x + -2x2

Reorder the terms:
-14 + -2X2 + 11x + xX2 + -2x2 = 14 + -14 + -11x + 11x + 2x2 + -2x2

Combine like terms: 14 + -14 = 0
-14 + -2X2 + 11x + xX2 + -2x2 = 0 + -11x + 11x + 2x2 + -2x2
-14 + -2X2 + 11x + xX2 + -2x2 = -11x + 11x + 2x2 + -2x2

Combine like terms: -11x + 11x = 0
-14 + -2X2 + 11x + xX2 + -2x2 = 0 + 2x2 + -2x2
-14 + -2X2 + 11x + xX2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14 + -2X2 + 11x + xX2 + -2x2 = 0

The solution to this equation could not be determined.

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