(x+3)(x+4)(x+5)=1320

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Solution for (x+3)(x+4)(x+5)=1320 equation:


Simplifying
(x + 3)(x + 4)(x + 5) = 1320

Reorder the terms:
(3 + x)(x + 4)(x + 5) = 1320

Reorder the terms:
(3 + x)(4 + x)(x + 5) = 1320

Reorder the terms:
(3 + x)(4 + x)(5 + x) = 1320

Multiply (3 + x) * (4 + x)
(3(4 + x) + x(4 + x))(5 + x) = 1320
((4 * 3 + x * 3) + x(4 + x))(5 + x) = 1320
((12 + 3x) + x(4 + x))(5 + x) = 1320
(12 + 3x + (4 * x + x * x))(5 + x) = 1320
(12 + 3x + (4x + x2))(5 + x) = 1320

Combine like terms: 3x + 4x = 7x
(12 + 7x + x2)(5 + x) = 1320

Multiply (12 + 7x + x2) * (5 + x)
(12(5 + x) + 7x * (5 + x) + x2(5 + x)) = 1320
((5 * 12 + x * 12) + 7x * (5 + x) + x2(5 + x)) = 1320
((60 + 12x) + 7x * (5 + x) + x2(5 + x)) = 1320
(60 + 12x + (5 * 7x + x * 7x) + x2(5 + x)) = 1320
(60 + 12x + (35x + 7x2) + x2(5 + x)) = 1320
(60 + 12x + 35x + 7x2 + (5 * x2 + x * x2)) = 1320
(60 + 12x + 35x + 7x2 + (5x2 + x3)) = 1320

Combine like terms: 12x + 35x = 47x
(60 + 47x + 7x2 + 5x2 + x3) = 1320

Combine like terms: 7x2 + 5x2 = 12x2
(60 + 47x + 12x2 + x3) = 1320

Solving
60 + 47x + 12x2 + x3 = 1320

Solving for variable 'x'.

Reorder the terms:
60 + -1320 + 47x + 12x2 + x3 = 1320 + -1320

Combine like terms: 60 + -1320 = -1260
-1260 + 47x + 12x2 + x3 = 1320 + -1320

Combine like terms: 1320 + -1320 = 0
-1260 + 47x + 12x2 + x3 = 0

The solution to this equation could not be determined.

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