x(x+1)(x+2)(x+3)(x+4)=720

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Solution for x(x+1)(x+2)(x+3)(x+4)=720 equation: 


Simplifying
x(x + 1)(x + 2)(x + 3)(x + 4) = 720

Reorder the terms:
x(1 + x)(x + 2)(x + 3)(x + 4) = 720

Reorder the terms:
x(1 + x)(2 + x)(x + 3)(x + 4) = 720

Reorder the terms:
x(1 + x)(2 + x)(3 + x)(x + 4) = 720

Reorder the terms:
x(1 + x)(2 + x)(3 + x)(4 + x) = 720

Multiply (1 + x) * (2 + x)
x(1(2 + x) + x(2 + x))(3 + x)(4 + x) = 720
x((2 * 1 + x * 1) + x(2 + x))(3 + x)(4 + x) = 720
x((2 + 1x) + x(2 + x))(3 + x)(4 + x) = 720
x(2 + 1x + (2 * x + x * x))(3 + x)(4 + x) = 720
x(2 + 1x + (2x + x2))(3 + x)(4 + x) = 720

Combine like terms: 1x + 2x = 3x
x(2 + 3x + x2)(3 + x)(4 + x) = 720

Multiply (2 + 3x + x2) * (3 + x)
x(2(3 + x) + 3x * (3 + x) + x2(3 + x))(4 + x) = 720
x((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(4 + x) = 720
x((6 + 2x) + 3x * (3 + x) + x2(3 + x))(4 + x) = 720
x(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(4 + x) = 720
x(6 + 2x + (9x + 3x2) + x2(3 + x))(4 + x) = 720
x(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(4 + x) = 720
x(6 + 2x + 9x + 3x2 + (3x2 + x3))(4 + x) = 720

Combine like terms: 2x + 9x = 11x
x(6 + 11x + 3x2 + 3x2 + x3)(4 + x) = 720

Combine like terms: 3x2 + 3x2 = 6x2
x(6 + 11x + 6x2 + x3)(4 + x) = 720

Multiply (6 + 11x + 6x2 + x3) * (4 + x)
x(6(4 + x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 720
x((4 * 6 + x * 6) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 720
x((24 + 6x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) = 720
x(24 + 6x + (4 * 11x + x * 11x) + 6x2 * (4 + x) + x3(4 + x)) = 720
x(24 + 6x + (44x + 11x2) + 6x2 * (4 + x) + x3(4 + x)) = 720
x(24 + 6x + 44x + 11x2 + (4 * 6x2 + x * 6x2) + x3(4 + x)) = 720
x(24 + 6x + 44x + 11x2 + (24x2 + 6x3) + x3(4 + x)) = 720
x(24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4 * x3 + x * x3)) = 720
x(24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4x3 + x4)) = 720

Combine like terms: 6x + 44x = 50x
x(24 + 50x + 11x2 + 24x2 + 6x3 + 4x3 + x4) = 720

Combine like terms: 11x2 + 24x2 = 35x2
x(24 + 50x + 35x2 + 6x3 + 4x3 + x4) = 720

Combine like terms: 6x3 + 4x3 = 10x3
x(24 + 50x + 35x2 + 10x3 + x4) = 720
(24 * x + 50x * x + 35x2 * x + 10x3 * x + x4 * x) = 720
(24x + 50x2 + 35x3 + 10x4 + x5) = 720

Solving
24x + 50x2 + 35x3 + 10x4 + x5 = 720

Solving for variable 'x'.

Reorder the terms:
-720 + 24x + 50x2 + 35x3 + 10x4 + x5 = 720 + -720

Combine like terms: 720 + -720 = 0
-720 + 24x + 50x2 + 35x3 + 10x4 + x5 = 0

The solution to this equation could not be determined.

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