(x+1)(x+3)(x+5)=48

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Solution for (x+1)(x+3)(x+5)=48 equation:


Simplifying
(x + 1)(x + 3)(x + 5) = 48

Reorder the terms:
(1 + x)(x + 3)(x + 5) = 48

Reorder the terms:
(1 + x)(3 + x)(x + 5) = 48

Reorder the terms:
(1 + x)(3 + x)(5 + x) = 48

Multiply (1 + x) * (3 + x)
(1(3 + x) + x(3 + x))(5 + x) = 48
((3 * 1 + x * 1) + x(3 + x))(5 + x) = 48
((3 + 1x) + x(3 + x))(5 + x) = 48
(3 + 1x + (3 * x + x * x))(5 + x) = 48
(3 + 1x + (3x + x2))(5 + x) = 48

Combine like terms: 1x + 3x = 4x
(3 + 4x + x2)(5 + x) = 48

Multiply (3 + 4x + x2) * (5 + x)
(3(5 + x) + 4x * (5 + x) + x2(5 + x)) = 48
((5 * 3 + x * 3) + 4x * (5 + x) + x2(5 + x)) = 48
((15 + 3x) + 4x * (5 + x) + x2(5 + x)) = 48
(15 + 3x + (5 * 4x + x * 4x) + x2(5 + x)) = 48
(15 + 3x + (20x + 4x2) + x2(5 + x)) = 48
(15 + 3x + 20x + 4x2 + (5 * x2 + x * x2)) = 48
(15 + 3x + 20x + 4x2 + (5x2 + x3)) = 48

Combine like terms: 3x + 20x = 23x
(15 + 23x + 4x2 + 5x2 + x3) = 48

Combine like terms: 4x2 + 5x2 = 9x2
(15 + 23x + 9x2 + x3) = 48

Solving
15 + 23x + 9x2 + x3 = 48

Solving for variable 'x'.

Reorder the terms:
15 + -48 + 23x + 9x2 + x3 = 48 + -48

Combine like terms: 15 + -48 = -33
-33 + 23x + 9x2 + x3 = 48 + -48

Combine like terms: 48 + -48 = 0
-33 + 23x + 9x2 + x3 = 0

The solution to this equation could not be determined.

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