(x+3)(x+4)(x+5)(x+6)=24

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Solution for (x+3)(x+4)(x+5)(x+6)=24 equation: 


Simplifying
(x + 3)(x + 4)(x + 5)(x + 6) = 24

Reorder the terms:
(3 + x)(x + 4)(x + 5)(x + 6) = 24

Reorder the terms:
(3 + x)(4 + x)(x + 5)(x + 6) = 24

Reorder the terms:
(3 + x)(4 + x)(5 + x)(x + 6) = 24

Reorder the terms:
(3 + x)(4 + x)(5 + x)(6 + x) = 24

Multiply (3 + x) * (4 + x)
(3(4 + x) + x(4 + x))(5 + x)(6 + x) = 24
((4 * 3 + x * 3) + x(4 + x))(5 + x)(6 + x) = 24
((12 + 3x) + x(4 + x))(5 + x)(6 + x) = 24
(12 + 3x + (4 * x + x * x))(5 + x)(6 + x) = 24
(12 + 3x + (4x + x2))(5 + x)(6 + x) = 24

Combine like terms: 3x + 4x = 7x
(12 + 7x + x2)(5 + x)(6 + x) = 24

Multiply (12 + 7x + x2) * (5 + x)
(12(5 + x) + 7x * (5 + x) + x2(5 + x))(6 + x) = 24
((5 * 12 + x * 12) + 7x * (5 + x) + x2(5 + x))(6 + x) = 24
((60 + 12x) + 7x * (5 + x) + x2(5 + x))(6 + x) = 24
(60 + 12x + (5 * 7x + x * 7x) + x2(5 + x))(6 + x) = 24
(60 + 12x + (35x + 7x2) + x2(5 + x))(6 + x) = 24
(60 + 12x + 35x + 7x2 + (5 * x2 + x * x2))(6 + x) = 24
(60 + 12x + 35x + 7x2 + (5x2 + x3))(6 + x) = 24

Combine like terms: 12x + 35x = 47x
(60 + 47x + 7x2 + 5x2 + x3)(6 + x) = 24

Combine like terms: 7x2 + 5x2 = 12x2
(60 + 47x + 12x2 + x3)(6 + x) = 24

Multiply (60 + 47x + 12x2 + x3) * (6 + x)
(60(6 + x) + 47x * (6 + x) + 12x2 * (6 + x) + x3(6 + x)) = 24
((6 * 60 + x * 60) + 47x * (6 + x) + 12x2 * (6 + x) + x3(6 + x)) = 24
((360 + 60x) + 47x * (6 + x) + 12x2 * (6 + x) + x3(6 + x)) = 24
(360 + 60x + (6 * 47x + x * 47x) + 12x2 * (6 + x) + x3(6 + x)) = 24
(360 + 60x + (282x + 47x2) + 12x2 * (6 + x) + x3(6 + x)) = 24
(360 + 60x + 282x + 47x2 + (6 * 12x2 + x * 12x2) + x3(6 + x)) = 24
(360 + 60x + 282x + 47x2 + (72x2 + 12x3) + x3(6 + x)) = 24
(360 + 60x + 282x + 47x2 + 72x2 + 12x3 + (6 * x3 + x * x3)) = 24
(360 + 60x + 282x + 47x2 + 72x2 + 12x3 + (6x3 + x4)) = 24

Combine like terms: 60x + 282x = 342x
(360 + 342x + 47x2 + 72x2 + 12x3 + 6x3 + x4) = 24

Combine like terms: 47x2 + 72x2 = 119x2
(360 + 342x + 119x2 + 12x3 + 6x3 + x4) = 24

Combine like terms: 12x3 + 6x3 = 18x3
(360 + 342x + 119x2 + 18x3 + x4) = 24

Solving
360 + 342x + 119x2 + 18x3 + x4 = 24

Solving for variable 'x'.

Reorder the terms:
360 + -24 + 342x + 119x2 + 18x3 + x4 = 24 + -24

Combine like terms: 360 + -24 = 336
336 + 342x + 119x2 + 18x3 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
336 + 342x + 119x2 + 18x3 + x4 = 0

The solution to this equation could not be determined.

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