(9-x)(2x^2-4)(9x^3+6x-27)(5x-2)=0

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Solution for (9-x)(2x^2-4)(9x^3+6x-27)(5x-2)=0 equation:

Simplifying
(9 + -1x)(2x² + -4)(9x³ + 6x + -27)(5x + -2) = 0

Reorder the terms:
(9 + -1x)(-4 + 2x²)(9x³ + 6x + -27)(5x + -2) = 0

Reorder the terms:
(9 + -1x)(-4 + 2x²)(-27 + 6x + 9x³)(5x + -2) = 0

Reorder the terms:
(9 + -1x)(-4 + 2x²)(-27 + 6x + 9x³)(-2 + 5x) = 0

Multiply (9 + -1x) * (-4 + 2x²)
(9(-4 + 2x²) + -1x * (-4 + 2x²))(-27 + 6x + 9x³)(-2 + 5x) = 0
((-4 * 9 + 2x² * 9) + -1x * (-4 + 2x²))(-27 + 6x + 9x³)(-2 + 5x) = 0
((-36 + 18x²) + -1x * (-4 + 2x²))(-27 + 6x + 9x³)(-2 + 5x) = 0
(-36 + 18x² + (-4 * -1x + 2x² * -1x))(-27 + 6x + 9x³)(-2 + 5x) = 0
(-36 + 18x² + (4x + -2x³))(-27 + 6x + 9x³)(-2 + 5x) = 0

Reorder the terms:
(-36 + 4x + 18x² + -2x³)(-27 + 6x + 9x³)(-2 + 5x) = 0
(-36 + 4x + 18x² + -2x³)(-27 + 6x + 9x³)(-2 + 5x) = 0

Multiply (-36 + 4x + 18x² + -2x³) * (-27 + 6x + 9x³)
(-36(-27 + 6x + 9x³) + 4x * (-27 + 6x + 9x³) + 18x² * (-27 + 6x + 9x³) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
((-27 * -36 + 6x * -36 + 9x³ * -36) + 4x * (-27 + 6x + 9x³) + 18x² * (-27 + 6x + 9x³) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
((972 + -216x + -324x³) + 4x * (-27 + 6x + 9x³) + 18x² * (-27 + 6x + 9x³) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + (-27 * 4x + 6x * 4x + 9x³ * 4x) + 18x² * (-27 + 6x + 9x³) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + (-108x + 24x² + 36x⁴) + 18x² * (-27 + 6x + 9x³) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + -108x + 24x² + 36x⁴ + (-27 * 18x² + 6x * 18x² + 9x³ * 18x²) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + -108x + 24x² + 36x⁴ + (-486x² + 108x³ + 162x⁵) + -2x³ * (-27 + 6x + 9x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + -108x + 24x² + 36x⁴ + -486x² + 108x³ + 162x⁵ + (-27 * -2x³ + 6x * -2x³ + 9x³ * -2x³))(-2 + 5x) = 0
(972 + -216x + -324x³ + -108x + 24x² + 36x⁴ + -486x² + 108x³ + 162x⁵ + (54x³ + -12x⁴ + -18x⁶))(-2 + 5x) = 0

Reorder the terms:
(972 + -216x + -108x + 24x² + -486x² + -324x³ + 108x³ + 54x³ + 36x⁴ + -12x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Combine like terms: -216x + -108x = -324x
(972 + -324x + 24x² + -486x² + -324x³ + 108x³ + 54x³ + 36x⁴ + -12x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Combine like terms: 24x² + -486x² = -462x²
(972 + -324x + -462x² + -324x³ + 108x³ + 54x³ + 36x⁴ + -12x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Combine like terms: -324x³ + 108x³ = -216x³
(972 + -324x + -462x² + -216x³ + 54x³ + 36x⁴ + -12x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Combine like terms: -216x³ + 54x³ = -162x³
(972 + -324x + -462x² + -162x³ + 36x⁴ + -12x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Combine like terms: 36x⁴ + -12x⁴ = 24x⁴
(972 + -324x + -462x² + -162x³ + 24x⁴ + 162x⁵ + -18x⁶)(-2 + 5x) = 0

Multiply (972 + -324x + -462x² + -162x³ + 24x⁴ + 162x⁵ + -18x⁶) * (-2 + 5x)
(972(-2 + 5x) + -324x * (-2 + 5x) + -462x² * (-2 + 5x) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
((-2 * 972 + 5x * 972) + -324x * (-2 + 5x) + -462x² * (-2 + 5x) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
((-1944 + 4860x) + -324x * (-2 + 5x) + -462x² * (-2 + 5x) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + (-2 * -324x + 5x * -324x) + -462x² * (-2 + 5x) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + (648x + -1620x²) + -462x² * (-2 + 5x) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + (-2 * -462x² + 5x * -462x²) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + (924x² + -2310x³) + -162x³ * (-2 + 5x) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + (-2 * -162x³ + 5x * -162x³) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + (324x³ + -810x⁴) + 24x⁴ * (-2 + 5x) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + (-2 * 24x⁴ + 5x * 24x⁴) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + (-48x⁴ + 120x⁵) + 162x⁵ * (-2 + 5x) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + (-2 * 162x⁵ + 5x * 162x⁵) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + (-324x⁵ + 810x⁶) + -18x⁶ * (-2 + 5x)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + (-2 * -18x⁶ + 5x * -18x⁶)) = 0
(-1944 + 4860x + 648x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + (36x⁶ + -90x⁷)) = 0

Combine like terms: 4860x + 648x = 5508x
(-1944 + 5508x + -1620x² + 924x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + 36x⁶ + -90x⁷) = 0

Combine like terms: -1620x² + 924x² = -696x²
(-1944 + 5508x + -696x² + -2310x³ + 324x³ + -810x⁴ + -48x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + 36x⁶ + -90x⁷) = 0

Combine like terms: -2310x³ + 324x³ = -1986x³
(-1944 + 5508x + -696x² + -1986x³ + -810x⁴ + -48x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + 36x⁶ + -90x⁷) = 0

Combine like terms: -810x⁴ + -48x⁴ = -858x⁴
(-1944 + 5508x + -696x² + -1986x³ + -858x⁴ + 120x⁵ + -324x⁵ + 810x⁶ + 36x⁶ + -90x⁷) = 0

Combine like terms: 120x⁵ + -324x⁵ = -204x⁵
(-1944 + 5508x + -696x² + -1986x³ + -858x⁴ + -204x⁵ + 810x⁶ + 36x⁶ + -90x⁷) = 0

Combine like terms: 810x⁶ + 36x⁶ = 846x⁶
(-1944 + 5508x + -696x² + -1986x³ + -858x⁴ + -204x⁵ + 846x⁶ + -90x⁷) = 0

Solving
-1944 + 5508x + -696x² + -1986x³ + -858x⁴ + -204x⁵ + 846x⁶ + -90x⁷ = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-324 + 918x + -116x² + -331x³ + -143x⁴ + -34x⁵ + 141x⁶ + -15x⁷) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-324 + 918x + -116x² + -331x³ + -143x⁴ + -34x⁵ + 141x⁶ + -15x⁷)' equal to zero and attempt to solve:

Simplifying
-324 + 918x + -116x² + -331x³ + -143x⁴ + -34x⁵ + 141x⁶ + -15x⁷ = 0

Solving
-324 + 918x + -116x² + -331x³ + -143x⁴ + -34x⁵ + 141x⁶ + -15x⁷ = 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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(9-x)(2x^2-4)(9x^3+6x-27)(5x-2)=0

Simple and best practice solution for (9-x)(2x^2-4)(9x^3+6x-27)(5x-2)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (9-x)(2x^2-4)(9x^3+6x-27)(5x-2)=0 equation:

Subproblem 1

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