(X^3-16x)(x+9)(x^2+3x+2)(x-3)=0

Simple and best practice solution for (X^3-16x)(x+9)(x^2+3x+2)(x-3)=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.

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Solution for (X^3-16x)(x+9)(x^2+3x+2)(x-3)=0 equation:

Simplifying
(X³ + -16x)(x + 9)(x² + 3x + 2)(x + -3) = 0

Reorder the terms:
(X³ + -16x)(9 + x)(x² + 3x + 2)(x + -3) = 0

Reorder the terms:
(X³ + -16x)(9 + x)(2 + 3x + x²)(x + -3) = 0

Reorder the terms:
(X³ + -16x)(9 + x)(2 + 3x + x²)(-3 + x) = 0

Multiply (X³ + -16x) * (9 + x)
(X³(9 + x) + -16x * (9 + x))(2 + 3x + x²)(-3 + x) = 0
((9 * X³ + x * X³) + -16x * (9 + x))(2 + 3x + x²)(-3 + x) = 0
((9X³ + xX³) + -16x * (9 + x))(2 + 3x + x²)(-3 + x) = 0
(9X³ + xX³ + (9 * -16x + x * -16x))(2 + 3x + x²)(-3 + x) = 0
(9X³ + xX³ + (-144x + -16x²))(2 + 3x + x²)(-3 + x) = 0

Reorder the terms:
(9X³ + -144x + xX³ + -16x²)(2 + 3x + x²)(-3 + x) = 0
(9X³ + -144x + xX³ + -16x²)(2 + 3x + x²)(-3 + x) = 0

Multiply (9X³ + -144x + xX³ + -16x²) * (2 + 3x + x²)
(9X³ * (2 + 3x + x²) + -144x * (2 + 3x + x²) + xX³(2 + 3x + x²) + -16x² * (2 + 3x + x²))(-3 + x) = 0
((2 * 9X³ + 3x * 9X³ + x² * 9X³) + -144x * (2 + 3x + x²) + xX³(2 + 3x + x²) + -16x² * (2 + 3x + x²))(-3 + x) = 0
((18X³ + 27xX³ + 9x²X³) + -144x * (2 + 3x + x²) + xX³(2 + 3x + x²) + -16x² * (2 + 3x + x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + (2 * -144x + 3x * -144x + x² * -144x) + xX³(2 + 3x + x²) + -16x² * (2 + 3x + x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + (-288x + -432x² + -144x³) + xX³(2 + 3x + x²) + -16x² * (2 + 3x + x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + -288x + -432x² + -144x³ + (2 * xX³ + 3x * xX³ + x² * xX³) + -16x² * (2 + 3x + x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + -288x + -432x² + -144x³ + (2xX³ + 3x²X³ + x³X³) + -16x² * (2 + 3x + x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + -288x + -432x² + -144x³ + 2xX³ + 3x²X³ + x³X³ + (2 * -16x² + 3x * -16x² + x² * -16x²))(-3 + x) = 0
(18X³ + 27xX³ + 9x²X³ + -288x + -432x² + -144x³ + 2xX³ + 3x²X³ + x³X³ + (-32x² + -48x³ + -16x⁴))(-3 + x) = 0

Reorder the terms:
(18X³ + -288x + 27xX³ + 2xX³ + -432x² + -32x² + 9x²X³ + 3x²X³ + -144x³ + -48x³ + x³X³ + -16x⁴)(-3 + x) = 0

Combine like terms: 27xX³ + 2xX³ = 29xX³
(18X³ + -288x + 29xX³ + -432x² + -32x² + 9x²X³ + 3x²X³ + -144x³ + -48x³ + x³X³ + -16x⁴)(-3 + x) = 0

Combine like terms: -432x² + -32x² = -464x²
(18X³ + -288x + 29xX³ + -464x² + 9x²X³ + 3x²X³ + -144x³ + -48x³ + x³X³ + -16x⁴)(-3 + x) = 0

Combine like terms: 9x²X³ + 3x²X³ = 12x²X³
(18X³ + -288x + 29xX³ + -464x² + 12x²X³ + -144x³ + -48x³ + x³X³ + -16x⁴)(-3 + x) = 0

Combine like terms: -144x³ + -48x³ = -192x³
(18X³ + -288x + 29xX³ + -464x² + 12x²X³ + -192x³ + x³X³ + -16x⁴)(-3 + x) = 0

Multiply (18X³ + -288x + 29xX³ + -464x² + 12x²X³ + -192x³ + x³X³ + -16x⁴) * (-3 + x)
(18X³ * (-3 + x) + -288x * (-3 + x) + 29xX³ * (-3 + x) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
((-3 * 18X³ + x * 18X³) + -288x * (-3 + x) + 29xX³ * (-3 + x) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
((-54X³ + 18xX³) + -288x * (-3 + x) + 29xX³ * (-3 + x) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + (-3 * -288x + x * -288x) + 29xX³ * (-3 + x) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + (864x + -288x²) + 29xX³ * (-3 + x) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + (-3 * 29xX³ + x * 29xX³) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + (-87xX³ + 29x²X³) + -464x² * (-3 + x) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + (-3 * -464x² + x * -464x²) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + (1392x² + -464x³) + 12x²X³ * (-3 + x) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + (-3 * 12x²X³ + x * 12x²X³) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + (-36x²X³ + 12x³X³) + -192x³ * (-3 + x) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + (-3 * -192x³ + x * -192x³) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + (576x³ + -192x⁴) + x³X³(-3 + x) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + 576x³ + -192x⁴ + (-3 * x³X³ + x * x³X³) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + 576x³ + -192x⁴ + (-3x³X³ + x⁴X³) + -16x⁴ * (-3 + x)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + 576x³ + -192x⁴ + -3x³X³ + x⁴X³ + (-3 * -16x⁴ + x * -16x⁴)) = 0
(-54X³ + 18xX³ + 864x + -288x² + -87xX³ + 29x²X³ + 1392x² + -464x³ + -36x²X³ + 12x³X³ + 576x³ + -192x⁴ + -3x³X³ + x⁴X³ + (48x⁴ + -16x⁵)) = 0

Reorder the terms:
(-54X³ + 864x + 18xX³ + -87xX³ + -288x² + 1392x² + 29x²X³ + -36x²X³ + -464x³ + 576x³ + 12x³X³ + -3x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: 18xX³ + -87xX³ = -69xX³
(-54X³ + 864x + -69xX³ + -288x² + 1392x² + 29x²X³ + -36x²X³ + -464x³ + 576x³ + 12x³X³ + -3x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: -288x² + 1392x² = 1104x²
(-54X³ + 864x + -69xX³ + 1104x² + 29x²X³ + -36x²X³ + -464x³ + 576x³ + 12x³X³ + -3x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: 29x²X³ + -36x²X³ = -7x²X³
(-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + -464x³ + 576x³ + 12x³X³ + -3x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: -464x³ + 576x³ = 112x³
(-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 12x³X³ + -3x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: 12x³X³ + -3x³X³ = 9x³X³
(-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -192x⁴ + 48x⁴ + x⁴X³ + -16x⁵) = 0

Combine like terms: -192x⁴ + 48x⁴ = -144x⁴
(-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵) = 0

Solving
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0

Solving for variable 'X'.

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

Add '-864x' to each side of the equation.
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -864x + -16x⁵ = 0 + -864x

Reorder the terms:
-54X³ + 864x + -864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + -864x

Combine like terms: 864x + -864x = 0
-54X³ + 0 + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + -864x
-54X³ + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + -864x
Remove the zero:
-54X³ + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x

Add '-1104x²' to each side of the equation.
-54X³ + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -1104x² + -16x⁵ = -864x + -1104x²

Reorder the terms:
-54X³ + -69xX³ + 1104x² + -1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x²

Combine like terms: 1104x² + -1104x² = 0
-54X³ + -69xX³ + 0 + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x²
-54X³ + -69xX³ + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x²

Add '-112x³' to each side of the equation.
-54X³ + -69xX³ + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -112x³ + -16x⁵ = -864x + -1104x² + -112x³

Reorder the terms:
-54X³ + -69xX³ + -7x²X³ + 112x³ + -112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³

Combine like terms: 112x³ + -112x³ = 0
-54X³ + -69xX³ + -7x²X³ + 0 + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³

Add '144x⁴' to each side of the equation.
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + -144x⁴ + x⁴X³ + 144x⁴ + -16x⁵ = -864x + -1104x² + -112x³ + 144x⁴

Reorder the terms:
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + -144x⁴ + 144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³ + 144x⁴

Combine like terms: -144x⁴ + 144x⁴ = 0
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + 0 + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³ + 144x⁴
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³ + 144x⁴

Add '16x⁵' to each side of the equation.
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + x⁴X³ + -16x⁵ + 16x⁵ = -864x + -1104x² + -112x³ + 144x⁴ + 16x⁵

Combine like terms: -16x⁵ + 16x⁵ = 0
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + x⁴X³ + 0 = -864x + -1104x² + -112x³ + 144x⁴ + 16x⁵
-54X³ + -69xX³ + -7x²X³ + 9x³X³ + x⁴X³ = -864x + -1104x² + -112x³ + 144x⁴ + 16x⁵

Reorder the terms:
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + -1104x² + -112x³ + 144x⁴ + 16x⁵ + 864x + 1104x² + 112x³ + -144x⁴ + -16x⁵

Reorder the terms:
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -864x + 864x + -1104x² + 1104x² + -112x³ + 112x³ + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵

Combine like terms: -864x + 864x = 0
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + -1104x² + 1104x² + -112x³ + 112x³ + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -1104x² + 1104x² + -112x³ + 112x³ + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵

Combine like terms: -1104x² + 1104x² = 0
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + -112x³ + 112x³ + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = -112x³ + 112x³ + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵

Combine like terms: -112x³ + 112x³ = 0
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 144x⁴ + -144x⁴ + 16x⁵ + -16x⁵

Combine like terms: 144x⁴ + -144x⁴ = 0
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0 + 16x⁵ + -16x⁵
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 16x⁵ + -16x⁵

Combine like terms: 16x⁵ + -16x⁵ = 0
-54X³ + 864x + -69xX³ + 1104x² + -7x²X³ + 112x³ + 9x³X³ + -144x⁴ + x⁴X³ + -16x⁵ = 0

The solution to this equation could not be determined.

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(X^3-16x)(x+9)(x^2+3x+2)(x-3)=0

Simple and best practice solution for (X^3-16x)(x+9)(x^2+3x+2)(x-3)=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 (X^3-16x)(x+9)(x^2+3x+2)(x-3)=0 equation:

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