((3x^2+9x)(-x^2-9))((2x^2-9x+9)(2x^3-3x^2))=0

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Solution for ((3x^2+9x)(-x^2-9))((2x^2-9x+9)(2x^3-3x^2))=0 equation: 


Simplifying
((3x2 + 9x)(-1x2 + -9))((2x2 + -9x + 9)(2x3 + -3x2)) = 0

Reorder the terms:
((9x + 3x2)(-1x2 + -9))((2x2 + -9x + 9)(2x3 + -3x2)) = 0

Reorder the terms:
((9x + 3x2)(-9 + -1x2))((2x2 + -9x + 9)(2x3 + -3x2)) = 0

Multiply (9x + 3x2) * (-9 + -1x2)
((9x * (-9 + -1x2) + 3x2 * (-9 + -1x2)))((2x2 + -9x + 9)(2x3 + -3x2)) = 0
(((-9 * 9x + -1x2 * 9x) + 3x2 * (-9 + -1x2)))((2x2 + -9x + 9)(2x3 + -3x2)) = 0
(((-81x + -9x3) + 3x2 * (-9 + -1x2)))((2x2 + -9x + 9)(2x3 + -3x2)) = 0
((-81x + -9x3 + (-9 * 3x2 + -1x2 * 3x2)))((2x2 + -9x + 9)(2x3 + -3x2)) = 0
((-81x + -9x3 + (-27x2 + -3x4)))((2x2 + -9x + 9)(2x3 + -3x2)) = 0

Reorder the terms:
((-81x + -27x2 + -9x3 + -3x4))((2x2 + -9x + 9)(2x3 + -3x2)) = 0
((-81x + -27x2 + -9x3 + -3x4))((2x2 + -9x + 9)(2x3 + -3x2)) = 0

Reorder the terms:
(-81x + -27x2 + -9x3 + -3x4)((9 + -9x + 2x2)(2x3 + -3x2)) = 0

Reorder the terms:
(-81x + -27x2 + -9x3 + -3x4)((9 + -9x + 2x2)(-3x2 + 2x3)) = 0

Multiply (9 + -9x + 2x2) * (-3x2 + 2x3)
(-81x + -27x2 + -9x3 + -3x4)((9(-3x2 + 2x3) + -9x * (-3x2 + 2x3) + 2x2 * (-3x2 + 2x3))) = 0
(-81x + -27x2 + -9x3 + -3x4)(((-3x2 * 9 + 2x3 * 9) + -9x * (-3x2 + 2x3) + 2x2 * (-3x2 + 2x3))) = 0
(-81x + -27x2 + -9x3 + -3x4)(((-27x2 + 18x3) + -9x * (-3x2 + 2x3) + 2x2 * (-3x2 + 2x3))) = 0
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 18x3 + (-3x2 * -9x + 2x3 * -9x) + 2x2 * (-3x2 + 2x3))) = 0
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 18x3 + (27x3 + -18x4) + 2x2 * (-3x2 + 2x3))) = 0
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 18x3 + 27x3 + -18x4 + (-3x2 * 2x2 + 2x3 * 2x2))) = 0
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 18x3 + 27x3 + -18x4 + (-6x4 + 4x5))) = 0

Combine like terms: 18x3 + 27x3 = 45x3
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 45x3 + -18x4 + -6x4 + 4x5)) = 0

Combine like terms: -18x4 + -6x4 = -24x4
(-81x + -27x2 + -9x3 + -3x4)((-27x2 + 45x3 + -24x4 + 4x5)) = 0

Multiply (-81x + -27x2 + -9x3 + -3x4) * (-27x2 + 45x3 + -24x4 + 4x5)
(-81x * (-27x2 + 45x3 + -24x4 + 4x5) + -27x2 * (-27x2 + 45x3 + -24x4 + 4x5) + -9x3 * (-27x2 + 45x3 + -24x4 + 4x5) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
((-27x2 * -81x + 45x3 * -81x + -24x4 * -81x + 4x5 * -81x) + -27x2 * (-27x2 + 45x3 + -24x4 + 4x5) + -9x3 * (-27x2 + 45x3 + -24x4 + 4x5) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
((2187x3 + -3645x4 + 1944x5 + -324x6) + -27x2 * (-27x2 + 45x3 + -24x4 + 4x5) + -9x3 * (-27x2 + 45x3 + -24x4 + 4x5) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + (-27x2 * -27x2 + 45x3 * -27x2 + -24x4 * -27x2 + 4x5 * -27x2) + -9x3 * (-27x2 + 45x3 + -24x4 + 4x5) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + (729x4 + -1215x5 + 648x6 + -108x7) + -9x3 * (-27x2 + 45x3 + -24x4 + 4x5) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + 729x4 + -1215x5 + 648x6 + -108x7 + (-27x2 * -9x3 + 45x3 * -9x3 + -24x4 * -9x3 + 4x5 * -9x3) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + 729x4 + -1215x5 + 648x6 + -108x7 + (243x5 + -405x6 + 216x7 + -36x8) + -3x4 * (-27x2 + 45x3 + -24x4 + 4x5)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + 729x4 + -1215x5 + 648x6 + -108x7 + 243x5 + -405x6 + 216x7 + -36x8 + (-27x2 * -3x4 + 45x3 * -3x4 + -24x4 * -3x4 + 4x5 * -3x4)) = 0
(2187x3 + -3645x4 + 1944x5 + -324x6 + 729x4 + -1215x5 + 648x6 + -108x7 + 243x5 + -405x6 + 216x7 + -36x8 + (81x6 + -135x7 + 72x8 + -12x9)) = 0

Reorder the terms:
(2187x3 + -3645x4 + 729x4 + 1944x5 + -1215x5 + 243x5 + -324x6 + 648x6 + -405x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: -3645x4 + 729x4 = -2916x4
(2187x3 + -2916x4 + 1944x5 + -1215x5 + 243x5 + -324x6 + 648x6 + -405x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: 1944x5 + -1215x5 = 729x5
(2187x3 + -2916x4 + 729x5 + 243x5 + -324x6 + 648x6 + -405x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: 729x5 + 243x5 = 972x5
(2187x3 + -2916x4 + 972x5 + -324x6 + 648x6 + -405x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: -324x6 + 648x6 = 324x6
(2187x3 + -2916x4 + 972x5 + 324x6 + -405x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: 324x6 + -405x6 = -81x6
(2187x3 + -2916x4 + 972x5 + -81x6 + 81x6 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: -81x6 + 81x6 = 0
(2187x3 + -2916x4 + 972x5 + 0 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0
(2187x3 + -2916x4 + 972x5 + -108x7 + 216x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: -108x7 + 216x7 = 108x7
(2187x3 + -2916x4 + 972x5 + 108x7 + -135x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: 108x7 + -135x7 = -27x7
(2187x3 + -2916x4 + 972x5 + -27x7 + -36x8 + 72x8 + -12x9) = 0

Combine like terms: -36x8 + 72x8 = 36x8
(2187x3 + -2916x4 + 972x5 + -27x7 + 36x8 + -12x9) = 0

Solving
2187x3 + -2916x4 + 972x5 + -27x7 + 36x8 + -12x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3'.
3x3(729 + -972x + 324x2 + -9x4 + 12x5 + -4x6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(729 + -972x + 324x2 + -9x4 + 12x5 + -4x6)' equal to zero and attempt to solve:

Simplifying
729 + -972x + 324x2 + -9x4 + 12x5 + -4x6 = 0

Solving
729 + -972x + 324x2 + -9x4 + 12x5 + -4x6 = 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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