(X+9)(x-5)=x^2-2x+1

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Solution for (X+9)(x-5)=x^2-2x+1 equation: 


Simplifying
(X + 9)(x + -5) = x2 + -2x + 1

Reorder the terms:
(9 + X)(x + -5) = x2 + -2x + 1

Reorder the terms:
(9 + X)(-5 + x) = x2 + -2x + 1

Multiply (9 + X) * (-5 + x)
(9(-5 + x) + X(-5 + x)) = x2 + -2x + 1
((-5 * 9 + x * 9) + X(-5 + x)) = x2 + -2x + 1
((-45 + 9x) + X(-5 + x)) = x2 + -2x + 1
(-45 + 9x + (-5 * X + x * X)) = x2 + -2x + 1
(-45 + 9x + (-5X + xX)) = x2 + -2x + 1

Reorder the terms:
(-45 + -5X + 9x + xX) = x2 + -2x + 1
(-45 + -5X + 9x + xX) = x2 + -2x + 1

Reorder the terms:
-45 + -5X + 9x + xX = 1 + -2x + x2

Solving
-45 + -5X + 9x + xX = 1 + -2x + x2

Solving for variable 'X'.

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

Add '45' to each side of the equation.
-45 + -5X + 9x + 45 + xX = 1 + -2x + 45 + x2

Reorder the terms:
-45 + 45 + -5X + 9x + xX = 1 + -2x + 45 + x2

Combine like terms: -45 + 45 = 0
0 + -5X + 9x + xX = 1 + -2x + 45 + x2
-5X + 9x + xX = 1 + -2x + 45 + x2

Reorder the terms:
-5X + 9x + xX = 1 + 45 + -2x + x2

Combine like terms: 1 + 45 = 46
-5X + 9x + xX = 46 + -2x + x2

Add '-9x' to each side of the equation.
-5X + 9x + -9x + xX = 46 + -2x + -9x + x2

Combine like terms: 9x + -9x = 0
-5X + 0 + xX = 46 + -2x + -9x + x2
-5X + xX = 46 + -2x + -9x + x2

Combine like terms: -2x + -9x = -11x
-5X + xX = 46 + -11x + x2

Reorder the terms:
-46 + -5X + 11x + xX + -1x2 = 46 + -11x + x2 + -46 + 11x + -1x2

Reorder the terms:
-46 + -5X + 11x + xX + -1x2 = 46 + -46 + -11x + 11x + x2 + -1x2

Combine like terms: 46 + -46 = 0
-46 + -5X + 11x + xX + -1x2 = 0 + -11x + 11x + x2 + -1x2
-46 + -5X + 11x + xX + -1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
-46 + -5X + 11x + xX + -1x2 = 0 + x2 + -1x2
-46 + -5X + 11x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-46 + -5X + 11x + xX + -1x2 = 0

The solution to this equation could not be determined.

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