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

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


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

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

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

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

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

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

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

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

Combine like terms: 1x + 1x = 2x
-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 = -7x
-5X + xX = 46 + -7x + x2

Reorder the terms:
-46 + -5X + 7x + xX + -1x2 = 46 + -7x + x2 + -46 + 7x + -1x2

Reorder the terms:
-46 + -5X + 7x + xX + -1x2 = 46 + -46 + -7x + 7x + x2 + -1x2

Combine like terms: 46 + -46 = 0
-46 + -5X + 7x + xX + -1x2 = 0 + -7x + 7x + x2 + -1x2
-46 + -5X + 7x + xX + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
-46 + -5X + 7x + xX + -1x2 = 0 + x2 + -1x2
-46 + -5X + 7x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-46 + -5X + 7x + xX + -1x2 = 0

The solution to this equation could not be determined.

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