(X-3)(x-4)(x-5)(x-6)=1680

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Solution for (X-3)(x-4)(x-5)(x-6)=1680 equation:

Simplifying
(X + -3)(x + -4)(x + -5)(x + -6) = 1680

Reorder the terms:
(-3 + X)(x + -4)(x + -5)(x + -6) = 1680

Reorder the terms:
(-3 + X)(-4 + x)(x + -5)(x + -6) = 1680

Reorder the terms:
(-3 + X)(-4 + x)(-5 + x)(x + -6) = 1680

Reorder the terms:
(-3 + X)(-4 + x)(-5 + x)(-6 + x) = 1680

Multiply (-3 + X) * (-4 + x)
(-3(-4 + x) + X(-4 + x))(-5 + x)(-6 + x) = 1680
((-4 * -3 + x * -3) + X(-4 + x))(-5 + x)(-6 + x) = 1680
((12 + -3x) + X(-4 + x))(-5 + x)(-6 + x) = 1680
(12 + -3x + (-4 * X + x * X))(-5 + x)(-6 + x) = 1680
(12 + -3x + (-4X + xX))(-5 + x)(-6 + x) = 1680

Reorder the terms:
(12 + -4X + -3x + xX)(-5 + x)(-6 + x) = 1680
(12 + -4X + -3x + xX)(-5 + x)(-6 + x) = 1680

Multiply (12 + -4X + -3x + xX) * (-5 + x)
(12(-5 + x) + -4X * (-5 + x) + -3x * (-5 + x) + xX(-5 + x))(-6 + x) = 1680
((-5 * 12 + x * 12) + -4X * (-5 + x) + -3x * (-5 + x) + xX(-5 + x))(-6 + x) = 1680
((-60 + 12x) + -4X * (-5 + x) + -3x * (-5 + x) + xX(-5 + x))(-6 + x) = 1680
(-60 + 12x + (-5 * -4X + x * -4X) + -3x * (-5 + x) + xX(-5 + x))(-6 + x) = 1680
(-60 + 12x + (20X + -4xX) + -3x * (-5 + x) + xX(-5 + x))(-6 + x) = 1680
(-60 + 12x + 20X + -4xX + (-5 * -3x + x * -3x) + xX(-5 + x))(-6 + x) = 1680
(-60 + 12x + 20X + -4xX + (15x + -3x²) + xX(-5 + x))(-6 + x) = 1680
(-60 + 12x + 20X + -4xX + 15x + -3x² + (-5 * xX + x * xX))(-6 + x) = 1680
(-60 + 12x + 20X + -4xX + 15x + -3x² + (-5xX + x²X))(-6 + x) = 1680

Reorder the terms:
(-60 + 20X + 12x + 15x + -4xX + -5xX + -3x² + x²X)(-6 + x) = 1680

Combine like terms: 12x + 15x = 27x
(-60 + 20X + 27x + -4xX + -5xX + -3x² + x²X)(-6 + x) = 1680

Combine like terms: -4xX + -5xX = -9xX
(-60 + 20X + 27x + -9xX + -3x² + x²X)(-6 + x) = 1680

Multiply (-60 + 20X + 27x + -9xX + -3x² + x²X) * (-6 + x)
(-60(-6 + x) + 20X * (-6 + x) + 27x * (-6 + x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
((-6 * -60 + x * -60) + 20X * (-6 + x) + 27x * (-6 + x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
((360 + -60x) + 20X * (-6 + x) + 27x * (-6 + x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + (-6 * 20X + x * 20X) + 27x * (-6 + x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + (-120X + 20xX) + 27x * (-6 + x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + (-6 * 27x + x * 27x) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + (-162x + 27x²) + -9xX * (-6 + x) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + (-6 * -9xX + x * -9xX) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + (54xX + -9x²X) + -3x² * (-6 + x) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + 54xX + -9x²X + (-6 * -3x² + x * -3x²) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + 54xX + -9x²X + (18x² + -3x³) + x²X(-6 + x)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + 54xX + -9x²X + 18x² + -3x³ + (-6 * x²X + x * x²X)) = 1680
(360 + -60x + -120X + 20xX + -162x + 27x² + 54xX + -9x²X + 18x² + -3x³ + (-6x²X + x³X)) = 1680

Reorder the terms:
(360 + -120X + -60x + -162x + 20xX + 54xX + 27x² + 18x² + -9x²X + -6x²X + -3x³ + x³X) = 1680

Combine like terms: -60x + -162x = -222x
(360 + -120X + -222x + 20xX + 54xX + 27x² + 18x² + -9x²X + -6x²X + -3x³ + x³X) = 1680

Combine like terms: 20xX + 54xX = 74xX
(360 + -120X + -222x + 74xX + 27x² + 18x² + -9x²X + -6x²X + -3x³ + x³X) = 1680

Combine like terms: 27x² + 18x² = 45x²
(360 + -120X + -222x + 74xX + 45x² + -9x²X + -6x²X + -3x³ + x³X) = 1680

Combine like terms: -9x²X + -6x²X = -15x²X
(360 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X) = 1680

Solving
360 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1680

Solving for variable 'X'.

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

Add '-360' to each side of the equation.
360 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + -360 + x³X = 1680 + -360

Reorder the terms:
360 + -360 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1680 + -360

Combine like terms: 360 + -360 = 0
0 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1680 + -360
-120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1680 + -360

Combine like terms: 1680 + -360 = 1320
-120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320

Add '222x' to each side of the equation.
-120X + -222x + 74xX + 45x² + -15x²X + -3x³ + 222x + x³X = 1320 + 222x

Reorder the terms:
-120X + -222x + 222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320 + 222x

Combine like terms: -222x + 222x = 0
-120X + 0 + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320 + 222x
-120X + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320 + 222x

Add '-45x²' to each side of the equation.
-120X + 74xX + 45x² + -15x²X + -3x³ + -45x² + x³X = 1320 + 222x + -45x²

Reorder the terms:
-120X + 74xX + 45x² + -45x² + -15x²X + -3x³ + x³X = 1320 + 222x + -45x²

Combine like terms: 45x² + -45x² = 0
-120X + 74xX + 0 + -15x²X + -3x³ + x³X = 1320 + 222x + -45x²
-120X + 74xX + -15x²X + -3x³ + x³X = 1320 + 222x + -45x²

Add '3x³' to each side of the equation.
-120X + 74xX + -15x²X + -3x³ + 3x³ + x³X = 1320 + 222x + -45x² + 3x³

Combine like terms: -3x³ + 3x³ = 0
-120X + 74xX + -15x²X + 0 + x³X = 1320 + 222x + -45x² + 3x³
-120X + 74xX + -15x²X + x³X = 1320 + 222x + -45x² + 3x³

Reorder the terms:
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320 + 222x + -45x² + 3x³ + -1320 + -222x + 45x² + -3x³

Reorder the terms:
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 1320 + -1320 + 222x + -222x + -45x² + 45x² + 3x³ + -3x³

Combine like terms: 1320 + -1320 = 0
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 0 + 222x + -222x + -45x² + 45x² + 3x³ + -3x³
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 222x + -222x + -45x² + 45x² + 3x³ + -3x³

Combine like terms: 222x + -222x = 0
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 0 + -45x² + 45x² + 3x³ + -3x³
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = -45x² + 45x² + 3x³ + -3x³

Combine like terms: -45x² + 45x² = 0
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 0 + 3x³ + -3x³
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 3x³ + -3x³

Combine like terms: 3x³ + -3x³ = 0
-1320 + -120X + -222x + 74xX + 45x² + -15x²X + -3x³ + x³X = 0

The solution to this equation could not be determined.

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(X-3)(x-4)(x-5)(x-6)=1680

Simple and best practice solution for (X-3)(x-4)(x-5)(x-6)=1680 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)(x-4)(x-5)(x-6)=1680 equation:

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