(x-8)(x^2+64+8x)=9(x-8)

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Solution for (x-8)(x^2+64+8x)=9(x-8) equation:


Simplifying
(x + -8)(x2 + 64 + 8x) = 9(x + -8)

Reorder the terms:
(-8 + x)(x2 + 64 + 8x) = 9(x + -8)

Reorder the terms:
(-8 + x)(64 + 8x + x2) = 9(x + -8)

Multiply (-8 + x) * (64 + 8x + x2)
(-8(64 + 8x + x2) + x(64 + 8x + x2)) = 9(x + -8)
((64 * -8 + 8x * -8 + x2 * -8) + x(64 + 8x + x2)) = 9(x + -8)
((-512 + -64x + -8x2) + x(64 + 8x + x2)) = 9(x + -8)
(-512 + -64x + -8x2 + (64 * x + 8x * x + x2 * x)) = 9(x + -8)
(-512 + -64x + -8x2 + (64x + 8x2 + x3)) = 9(x + -8)

Reorder the terms:
(-512 + -64x + 64x + -8x2 + 8x2 + x3) = 9(x + -8)

Combine like terms: -64x + 64x = 0
(-512 + 0 + -8x2 + 8x2 + x3) = 9(x + -8)
(-512 + -8x2 + 8x2 + x3) = 9(x + -8)

Combine like terms: -8x2 + 8x2 = 0
(-512 + 0 + x3) = 9(x + -8)
(-512 + x3) = 9(x + -8)

Reorder the terms:
-512 + x3 = 9(-8 + x)
-512 + x3 = (-8 * 9 + x * 9)
-512 + x3 = (-72 + 9x)

Solving
-512 + x3 = -72 + 9x

Solving for variable 'x'.

Reorder the terms:
-512 + 72 + -9x + x3 = -72 + 9x + 72 + -9x

Combine like terms: -512 + 72 = -440
-440 + -9x + x3 = -72 + 9x + 72 + -9x

Reorder the terms:
-440 + -9x + x3 = -72 + 72 + 9x + -9x

Combine like terms: -72 + 72 = 0
-440 + -9x + x3 = 0 + 9x + -9x
-440 + -9x + x3 = 9x + -9x

Combine like terms: 9x + -9x = 0
-440 + -9x + x3 = 0

The solution to this equation could not be determined.

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