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

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


Simplifying
((3x + -9)(x + -8))(3x + -9) = 0

Reorder the terms:
((-9 + 3x)(x + -8))(3x + -9) = 0

Reorder the terms:
((-9 + 3x)(-8 + x))(3x + -9) = 0

Multiply (-9 + 3x) * (-8 + x)
((-9(-8 + x) + 3x * (-8 + x)))(3x + -9) = 0
(((-8 * -9 + x * -9) + 3x * (-8 + x)))(3x + -9) = 0
(((72 + -9x) + 3x * (-8 + x)))(3x + -9) = 0
((72 + -9x + (-8 * 3x + x * 3x)))(3x + -9) = 0
((72 + -9x + (-24x + 3x2)))(3x + -9) = 0

Combine like terms: -9x + -24x = -33x
((72 + -33x + 3x2))(3x + -9) = 0

Reorder the terms:
(72 + -33x + 3x2)(-9 + 3x) = 0

Multiply (72 + -33x + 3x2) * (-9 + 3x)
(72(-9 + 3x) + -33x * (-9 + 3x) + 3x2 * (-9 + 3x)) = 0
((-9 * 72 + 3x * 72) + -33x * (-9 + 3x) + 3x2 * (-9 + 3x)) = 0
((-648 + 216x) + -33x * (-9 + 3x) + 3x2 * (-9 + 3x)) = 0
(-648 + 216x + (-9 * -33x + 3x * -33x) + 3x2 * (-9 + 3x)) = 0
(-648 + 216x + (297x + -99x2) + 3x2 * (-9 + 3x)) = 0
(-648 + 216x + 297x + -99x2 + (-9 * 3x2 + 3x * 3x2)) = 0
(-648 + 216x + 297x + -99x2 + (-27x2 + 9x3)) = 0

Combine like terms: 216x + 297x = 513x
(-648 + 513x + -99x2 + -27x2 + 9x3) = 0

Combine like terms: -99x2 + -27x2 = -126x2
(-648 + 513x + -126x2 + 9x3) = 0

Solving
-648 + 513x + -126x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-72 + 57x + -14x2 + x3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-72 + 57x + -14x2 + x3)' equal to zero and attempt to solve:

Simplifying
-72 + 57x + -14x2 + x3 = 0

Solving
-72 + 57x + -14x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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