(X-5)(x^2-7x+2)=

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Solution for (X-5)(x^2-7x+2)= equation: 


Simplifying
(X + -5)(x2 + -7x + 2) = 0

Reorder the terms:
(-5 + X)(x2 + -7x + 2) = 0

Reorder the terms:
(-5 + X)(2 + -7x + x2) = 0

Multiply (-5 + X) * (2 + -7x + x2)
(-5(2 + -7x + x2) + X(2 + -7x + x2)) = 0
((2 * -5 + -7x * -5 + x2 * -5) + X(2 + -7x + x2)) = 0
((-10 + 35x + -5x2) + X(2 + -7x + x2)) = 0
(-10 + 35x + -5x2 + (2 * X + -7x * X + x2 * X)) = 0
(-10 + 35x + -5x2 + (2X + -7xX + x2X)) = 0

Reorder the terms:
(-10 + 2X + 35x + -7xX + -5x2 + x2X) = 0
(-10 + 2X + 35x + -7xX + -5x2 + x2X) = 0

Solving
-10 + 2X + 35x + -7xX + -5x2 + 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 + 2X + 35x + -7xX + -5x2 + 10 + x2X = 0 + 10

Reorder the terms:
-10 + 10 + 2X + 35x + -7xX + -5x2 + x2X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2X + 35x + -7xX + -5x2 + x2X = 0 + 10
2X + 35x + -7xX + -5x2 + x2X = 0 + 10

Combine like terms: 0 + 10 = 10
2X + 35x + -7xX + -5x2 + x2X = 10

Add '-35x' to each side of the equation.
2X + 35x + -7xX + -5x2 + -35x + x2X = 10 + -35x

Reorder the terms:
2X + 35x + -35x + -7xX + -5x2 + x2X = 10 + -35x

Combine like terms: 35x + -35x = 0
2X + 0 + -7xX + -5x2 + x2X = 10 + -35x
2X + -7xX + -5x2 + x2X = 10 + -35x

Add '5x2' to each side of the equation.
2X + -7xX + -5x2 + 5x2 + x2X = 10 + -35x + 5x2

Combine like terms: -5x2 + 5x2 = 0
2X + -7xX + 0 + x2X = 10 + -35x + 5x2
2X + -7xX + x2X = 10 + -35x + 5x2

Reorder the terms:
-10 + 2X + 35x + -7xX + -5x2 + x2X = 10 + -35x + 5x2 + -10 + 35x + -5x2

Reorder the terms:
-10 + 2X + 35x + -7xX + -5x2 + x2X = 10 + -10 + -35x + 35x + 5x2 + -5x2

Combine like terms: 10 + -10 = 0
-10 + 2X + 35x + -7xX + -5x2 + x2X = 0 + -35x + 35x + 5x2 + -5x2
-10 + 2X + 35x + -7xX + -5x2 + x2X = -35x + 35x + 5x2 + -5x2

Combine like terms: -35x + 35x = 0
-10 + 2X + 35x + -7xX + -5x2 + x2X = 0 + 5x2 + -5x2
-10 + 2X + 35x + -7xX + -5x2 + x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-10 + 2X + 35x + -7xX + -5x2 + x2X = 0

The solution to this equation could not be determined.

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