(X-8)(x-9)=(x+3)(x+9)

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Solution for (X-8)(x-9)=(x+3)(x+9) equation: 


Simplifying
(X + -8)(x + -9) = (x + 3)(x + 9)

Reorder the terms:
(-8 + X)(x + -9) = (x + 3)(x + 9)

Reorder the terms:
(-8 + X)(-9 + x) = (x + 3)(x + 9)

Multiply (-8 + X) * (-9 + x)
(-8(-9 + x) + X(-9 + x)) = (x + 3)(x + 9)
((-9 * -8 + x * -8) + X(-9 + x)) = (x + 3)(x + 9)
((72 + -8x) + X(-9 + x)) = (x + 3)(x + 9)
(72 + -8x + (-9 * X + x * X)) = (x + 3)(x + 9)
(72 + -8x + (-9X + xX)) = (x + 3)(x + 9)

Reorder the terms:
(72 + -9X + -8x + xX) = (x + 3)(x + 9)
(72 + -9X + -8x + xX) = (x + 3)(x + 9)

Reorder the terms:
72 + -9X + -8x + xX = (3 + x)(x + 9)

Reorder the terms:
72 + -9X + -8x + xX = (3 + x)(9 + x)

Multiply (3 + x) * (9 + x)
72 + -9X + -8x + xX = (3(9 + x) + x(9 + x))
72 + -9X + -8x + xX = ((9 * 3 + x * 3) + x(9 + x))
72 + -9X + -8x + xX = ((27 + 3x) + x(9 + x))
72 + -9X + -8x + xX = (27 + 3x + (9 * x + x * x))
72 + -9X + -8x + xX = (27 + 3x + (9x + x2))

Combine like terms: 3x + 9x = 12x
72 + -9X + -8x + xX = (27 + 12x + x2)

Solving
72 + -9X + -8x + xX = 27 + 12x + x2

Solving for variable 'X'.

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

Add '-72' to each side of the equation.
72 + -9X + -8x + -72 + xX = 27 + 12x + -72 + x2

Reorder the terms:
72 + -72 + -9X + -8x + xX = 27 + 12x + -72 + x2

Combine like terms: 72 + -72 = 0
0 + -9X + -8x + xX = 27 + 12x + -72 + x2
-9X + -8x + xX = 27 + 12x + -72 + x2

Reorder the terms:
-9X + -8x + xX = 27 + -72 + 12x + x2

Combine like terms: 27 + -72 = -45
-9X + -8x + xX = -45 + 12x + x2

Add '8x' to each side of the equation.
-9X + -8x + 8x + xX = -45 + 12x + 8x + x2

Combine like terms: -8x + 8x = 0
-9X + 0 + xX = -45 + 12x + 8x + x2
-9X + xX = -45 + 12x + 8x + x2

Combine like terms: 12x + 8x = 20x
-9X + xX = -45 + 20x + x2

Reorder the terms:
45 + -9X + -20x + xX + -1x2 = -45 + 20x + x2 + 45 + -20x + -1x2

Reorder the terms:
45 + -9X + -20x + xX + -1x2 = -45 + 45 + 20x + -20x + x2 + -1x2

Combine like terms: -45 + 45 = 0
45 + -9X + -20x + xX + -1x2 = 0 + 20x + -20x + x2 + -1x2
45 + -9X + -20x + xX + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
45 + -9X + -20x + xX + -1x2 = 0 + x2 + -1x2
45 + -9X + -20x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -9X + -20x + xX + -1x2 = 0

The solution to this equation could not be determined.

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