(X-5)(x^2-9)(x^2-1)(x-7)=320

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Solution for (X-5)(x^2-9)(x^2-1)(x-7)=320 equation:

Simplifying
(X + -5)(x² + -9)(x² + -1)(x + -7) = 320

Reorder the terms:
(-5 + X)(x² + -9)(x² + -1)(x + -7) = 320

Reorder the terms:
(-5 + X)(-9 + x²)(x² + -1)(x + -7) = 320

Reorder the terms:
(-5 + X)(-9 + x²)(-1 + x²)(x + -7) = 320

Reorder the terms:
(-5 + X)(-9 + x²)(-1 + x²)(-7 + x) = 320

Multiply (-5 + X) * (-9 + x²)
(-5(-9 + x²) + X(-9 + x²))(-1 + x²)(-7 + x) = 320
((-9 * -5 + x² * -5) + X(-9 + x²))(-1 + x²)(-7 + x) = 320
((45 + -5x²) + X(-9 + x²))(-1 + x²)(-7 + x) = 320
(45 + -5x² + (-9 * X + x² * X))(-1 + x²)(-7 + x) = 320
(45 + -5x² + (-9X + x²X))(-1 + x²)(-7 + x) = 320

Reorder the terms:
(45 + -9X + -5x² + x²X)(-1 + x²)(-7 + x) = 320
(45 + -9X + -5x² + x²X)(-1 + x²)(-7 + x) = 320

Multiply (45 + -9X + -5x² + x²X) * (-1 + x²)
(45(-1 + x²) + -9X * (-1 + x²) + -5x² * (-1 + x²) + x²X(-1 + x²))(-7 + x) = 320
((-1 * 45 + x² * 45) + -9X * (-1 + x²) + -5x² * (-1 + x²) + x²X(-1 + x²))(-7 + x) = 320
((-45 + 45x²) + -9X * (-1 + x²) + -5x² * (-1 + x²) + x²X(-1 + x²))(-7 + x) = 320
(-45 + 45x² + (-1 * -9X + x² * -9X) + -5x² * (-1 + x²) + x²X(-1 + x²))(-7 + x) = 320
(-45 + 45x² + (9X + -9x²X) + -5x² * (-1 + x²) + x²X(-1 + x²))(-7 + x) = 320
(-45 + 45x² + 9X + -9x²X + (-1 * -5x² + x² * -5x²) + x²X(-1 + x²))(-7 + x) = 320
(-45 + 45x² + 9X + -9x²X + (5x² + -5x⁴) + x²X(-1 + x²))(-7 + x) = 320
(-45 + 45x² + 9X + -9x²X + 5x² + -5x⁴ + (-1 * x²X + x² * x²X))(-7 + x) = 320
(-45 + 45x² + 9X + -9x²X + 5x² + -5x⁴ + (-1x²X + x⁴X))(-7 + x) = 320

Reorder the terms:
(-45 + 9X + 45x² + 5x² + -9x²X + -1x²X + -5x⁴ + x⁴X)(-7 + x) = 320

Combine like terms: 45x² + 5x² = 50x²
(-45 + 9X + 50x² + -9x²X + -1x²X + -5x⁴ + x⁴X)(-7 + x) = 320

Combine like terms: -9x²X + -1x²X = -10x²X
(-45 + 9X + 50x² + -10x²X + -5x⁴ + x⁴X)(-7 + x) = 320

Multiply (-45 + 9X + 50x² + -10x²X + -5x⁴ + x⁴X) * (-7 + x)
(-45(-7 + x) + 9X * (-7 + x) + 50x² * (-7 + x) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
((-7 * -45 + x * -45) + 9X * (-7 + x) + 50x² * (-7 + x) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
((315 + -45x) + 9X * (-7 + x) + 50x² * (-7 + x) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + (-7 * 9X + x * 9X) + 50x² * (-7 + x) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + (-63X + 9xX) + 50x² * (-7 + x) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + (-7 * 50x² + x * 50x²) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + (-350x² + 50x³) + -10x²X * (-7 + x) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + (-7 * -10x²X + x * -10x²X) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + (70x²X + -10x³X) + -5x⁴ * (-7 + x) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + 70x²X + -10x³X + (-7 * -5x⁴ + x * -5x⁴) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + 70x²X + -10x³X + (35x⁴ + -5x⁵) + x⁴X(-7 + x)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + 70x²X + -10x³X + 35x⁴ + -5x⁵ + (-7 * x⁴X + x * x⁴X)) = 320
(315 + -45x + -63X + 9xX + -350x² + 50x³ + 70x²X + -10x³X + 35x⁴ + -5x⁵ + (-7x⁴X + x⁵X)) = 320

Reorder the terms:
(315 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X) = 320
(315 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X) = 320

Solving
315 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 320

Solving for variable 'X'.

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

Add '-315' to each side of the equation.
315 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + -315 + x⁵X = 320 + -315

Reorder the terms:
315 + -315 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 320 + -315

Combine like terms: 315 + -315 = 0
0 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 320 + -315
-63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 320 + -315

Combine like terms: 320 + -315 = 5
-63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5

Add '45x' to each side of the equation.
-63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + 45x + x⁵X = 5 + 45x

Reorder the terms:
-63X + -45x + 45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x

Combine like terms: -45x + 45x = 0
-63X + 0 + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x
-63X + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x

Add '350x²' to each side of the equation.
-63X + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + 350x² + x⁵X = 5 + 45x + 350x²

Reorder the terms:
-63X + 9xX + -350x² + 350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x²

Combine like terms: -350x² + 350x² = 0
-63X + 9xX + 0 + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x²
-63X + 9xX + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x²

Add '-50x³' to each side of the equation.
-63X + 9xX + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + -50x³ + x⁵X = 5 + 45x + 350x² + -50x³

Reorder the terms:
-63X + 9xX + 70x²X + 50x³ + -50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³

Combine like terms: 50x³ + -50x³ = 0
-63X + 9xX + 70x²X + 0 + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³
-63X + 9xX + 70x²X + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³

Add '-35x⁴' to each side of the equation.
-63X + 9xX + 70x²X + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + -35x⁴ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴

Reorder the terms:
-63X + 9xX + 70x²X + -10x³X + 35x⁴ + -35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴

Combine like terms: 35x⁴ + -35x⁴ = 0
-63X + 9xX + 70x²X + -10x³X + 0 + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴
-63X + 9xX + 70x²X + -10x³X + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴

Add '5x⁵' to each side of the equation.
-63X + 9xX + 70x²X + -10x³X + -7x⁴X + -5x⁵ + 5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴ + 5x⁵

Combine like terms: -5x⁵ + 5x⁵ = 0
-63X + 9xX + 70x²X + -10x³X + -7x⁴X + 0 + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴ + 5x⁵
-63X + 9xX + 70x²X + -10x³X + -7x⁴X + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴ + 5x⁵

Reorder the terms:
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + 45x + 350x² + -50x³ + -35x⁴ + 5x⁵ + -5 + -45x + -350x² + 50x³ + 35x⁴ + -5x⁵

Reorder the terms:
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5 + -5 + 45x + -45x + 350x² + -350x² + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵

Combine like terms: 5 + -5 = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0 + 45x + -45x + 350x² + -350x² + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 45x + -45x + 350x² + -350x² + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵

Combine like terms: 45x + -45x = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0 + 350x² + -350x² + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 350x² + -350x² + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵

Combine like terms: 350x² + -350x² = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0 + -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = -50x³ + 50x³ + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵

Combine like terms: -50x³ + 50x³ = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0 + -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = -35x⁴ + 35x⁴ + 5x⁵ + -5x⁵

Combine like terms: -35x⁴ + 35x⁴ = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0 + 5x⁵ + -5x⁵
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 5x⁵ + -5x⁵

Combine like terms: 5x⁵ + -5x⁵ = 0
-5 + -63X + -45x + 9xX + -350x² + 70x²X + 50x³ + -10x³X + 35x⁴ + -7x⁴X + -5x⁵ + x⁵X = 0

The solution to this equation could not be determined.

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(X-5)(x^2-9)(x^2-1)(x-7)=320

Simple and best practice solution for (X-5)(x^2-9)(x^2-1)(x-7)=320 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-5)(x^2-9)(x^2-1)(x-7)=320 equation:

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