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

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


Simplifying
(X + -3) * 3x + -1(x + 3)(x + -3) * 3 = (x + 3)(x + -9)

Reorder the terms:
(-3 + X) * 3x + -1(x + 3)(x + -3) * 3 = (x + 3)(x + -9)

Reorder the terms for easier multiplication:
3x(-3 + X) + -1(x + 3)(x + -3) * 3 = (x + 3)(x + -9)
(-3 * 3x + X * 3x) + -1(x + 3)(x + -3) * 3 = (x + 3)(x + -9)
(-9x + 3xX) + -1(x + 3)(x + -3) * 3 = (x + 3)(x + -9)

Reorder the terms:
-9x + 3xX + -1(3 + x)(x + -3) * 3 = (x + 3)(x + -9)

Reorder the terms:
-9x + 3xX + -1(3 + x)(-3 + x) * 3 = (x + 3)(x + -9)

Reorder the terms for easier multiplication:
-9x + 3xX + -1 * 3(3 + x)(-3 + x) = (x + 3)(x + -9)

Multiply -1 * 3
-9x + 3xX + -3(3 + x)(-3 + x) = (x + 3)(x + -9)

Multiply (3 + x) * (-3 + x)
-9x + 3xX + -3(3(-3 + x) + x(-3 + x)) = (x + 3)(x + -9)
-9x + 3xX + -3((-3 * 3 + x * 3) + x(-3 + x)) = (x + 3)(x + -9)
-9x + 3xX + -3((-9 + 3x) + x(-3 + x)) = (x + 3)(x + -9)
-9x + 3xX + -3(-9 + 3x + (-3 * x + x * x)) = (x + 3)(x + -9)
-9x + 3xX + -3(-9 + 3x + (-3x + x2)) = (x + 3)(x + -9)

Combine like terms: 3x + -3x = 0
-9x + 3xX + -3(-9 + 0 + x2) = (x + 3)(x + -9)
-9x + 3xX + -3(-9 + x2) = (x + 3)(x + -9)
-9x + 3xX + (-9 * -3 + x2 * -3) = (x + 3)(x + -9)
-9x + 3xX + (27 + -3x2) = (x + 3)(x + -9)

Reorder the terms:
27 + -9x + 3xX + -3x2 = (x + 3)(x + -9)

Reorder the terms:
27 + -9x + 3xX + -3x2 = (3 + x)(x + -9)

Reorder the terms:
27 + -9x + 3xX + -3x2 = (3 + x)(-9 + x)

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

Combine like terms: 3x + -9x = -6x
27 + -9x + 3xX + -3x2 = (-27 + -6x + x2)

Solving
27 + -9x + 3xX + -3x2 = -27 + -6x + x2

Solving for variable 'x'.

Reorder the terms:
27 + 27 + -9x + 6x + 3xX + -3x2 + -1x2 = -27 + -6x + x2 + 27 + 6x + -1x2

Combine like terms: 27 + 27 = 54
54 + -9x + 6x + 3xX + -3x2 + -1x2 = -27 + -6x + x2 + 27 + 6x + -1x2

Combine like terms: -9x + 6x = -3x
54 + -3x + 3xX + -3x2 + -1x2 = -27 + -6x + x2 + 27 + 6x + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
54 + -3x + 3xX + -4x2 = -27 + -6x + x2 + 27 + 6x + -1x2

Reorder the terms:
54 + -3x + 3xX + -4x2 = -27 + 27 + -6x + 6x + x2 + -1x2

Combine like terms: -27 + 27 = 0
54 + -3x + 3xX + -4x2 = 0 + -6x + 6x + x2 + -1x2
54 + -3x + 3xX + -4x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
54 + -3x + 3xX + -4x2 = 0 + x2 + -1x2
54 + -3x + 3xX + -4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
54 + -3x + 3xX + -4x2 = 0

The solution to this equation could not be determined.

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