(X-3)(x^2-2x+7)=

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Solution for (X-3)(x^2-2x+7)= equation: 


Simplifying
(X + -3)(x2 + -2x + 7) = 0

Reorder the terms:
(-3 + X)(x2 + -2x + 7) = 0

Reorder the terms:
(-3 + X)(7 + -2x + x2) = 0

Multiply (-3 + X) * (7 + -2x + x2)
(-3(7 + -2x + x2) + X(7 + -2x + x2)) = 0
((7 * -3 + -2x * -3 + x2 * -3) + X(7 + -2x + x2)) = 0
((-21 + 6x + -3x2) + X(7 + -2x + x2)) = 0
(-21 + 6x + -3x2 + (7 * X + -2x * X + x2 * X)) = 0
(-21 + 6x + -3x2 + (7X + -2xX + x2X)) = 0

Reorder the terms:
(-21 + 7X + 6x + -2xX + -3x2 + x2X) = 0
(-21 + 7X + 6x + -2xX + -3x2 + x2X) = 0

Solving
-21 + 7X + 6x + -2xX + -3x2 + x2X = 0

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + 7X + 6x + -2xX + -3x2 + 21 + x2X = 0 + 21

Reorder the terms:
-21 + 21 + 7X + 6x + -2xX + -3x2 + x2X = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 7X + 6x + -2xX + -3x2 + x2X = 0 + 21
7X + 6x + -2xX + -3x2 + x2X = 0 + 21

Combine like terms: 0 + 21 = 21
7X + 6x + -2xX + -3x2 + x2X = 21

Add '-6x' to each side of the equation.
7X + 6x + -2xX + -3x2 + -6x + x2X = 21 + -6x

Reorder the terms:
7X + 6x + -6x + -2xX + -3x2 + x2X = 21 + -6x

Combine like terms: 6x + -6x = 0
7X + 0 + -2xX + -3x2 + x2X = 21 + -6x
7X + -2xX + -3x2 + x2X = 21 + -6x

Add '3x2' to each side of the equation.
7X + -2xX + -3x2 + 3x2 + x2X = 21 + -6x + 3x2

Combine like terms: -3x2 + 3x2 = 0
7X + -2xX + 0 + x2X = 21 + -6x + 3x2
7X + -2xX + x2X = 21 + -6x + 3x2

Reorder the terms:
-21 + 7X + 6x + -2xX + -3x2 + x2X = 21 + -6x + 3x2 + -21 + 6x + -3x2

Reorder the terms:
-21 + 7X + 6x + -2xX + -3x2 + x2X = 21 + -21 + -6x + 6x + 3x2 + -3x2

Combine like terms: 21 + -21 = 0
-21 + 7X + 6x + -2xX + -3x2 + x2X = 0 + -6x + 6x + 3x2 + -3x2
-21 + 7X + 6x + -2xX + -3x2 + x2X = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-21 + 7X + 6x + -2xX + -3x2 + x2X = 0 + 3x2 + -3x2
-21 + 7X + 6x + -2xX + -3x2 + x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-21 + 7X + 6x + -2xX + -3x2 + x2X = 0

The solution to this equation could not be determined.

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