(p+1)(p+2)(p+3)(p+4)-8=0

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Solution for (p+1)(p+2)(p+3)(p+4)-8=0 equation:


Simplifying
(p + 1)(p + 2)(p + 3)(p + 4) + -8 = 0

Reorder the terms:
(1 + p)(p + 2)(p + 3)(p + 4) + -8 = 0

Reorder the terms:
(1 + p)(2 + p)(p + 3)(p + 4) + -8 = 0

Reorder the terms:
(1 + p)(2 + p)(3 + p)(p + 4) + -8 = 0

Reorder the terms:
(1 + p)(2 + p)(3 + p)(4 + p) + -8 = 0

Multiply (1 + p) * (2 + p)
(1(2 + p) + p(2 + p))(3 + p)(4 + p) + -8 = 0
((2 * 1 + p * 1) + p(2 + p))(3 + p)(4 + p) + -8 = 0
((2 + 1p) + p(2 + p))(3 + p)(4 + p) + -8 = 0
(2 + 1p + (2 * p + p * p))(3 + p)(4 + p) + -8 = 0
(2 + 1p + (2p + p2))(3 + p)(4 + p) + -8 = 0

Combine like terms: 1p + 2p = 3p
(2 + 3p + p2)(3 + p)(4 + p) + -8 = 0

Multiply (2 + 3p + p2) * (3 + p)
(2(3 + p) + 3p * (3 + p) + p2(3 + p))(4 + p) + -8 = 0
((3 * 2 + p * 2) + 3p * (3 + p) + p2(3 + p))(4 + p) + -8 = 0
((6 + 2p) + 3p * (3 + p) + p2(3 + p))(4 + p) + -8 = 0
(6 + 2p + (3 * 3p + p * 3p) + p2(3 + p))(4 + p) + -8 = 0
(6 + 2p + (9p + 3p2) + p2(3 + p))(4 + p) + -8 = 0
(6 + 2p + 9p + 3p2 + (3 * p2 + p * p2))(4 + p) + -8 = 0
(6 + 2p + 9p + 3p2 + (3p2 + p3))(4 + p) + -8 = 0

Combine like terms: 2p + 9p = 11p
(6 + 11p + 3p2 + 3p2 + p3)(4 + p) + -8 = 0

Combine like terms: 3p2 + 3p2 = 6p2
(6 + 11p + 6p2 + p3)(4 + p) + -8 = 0

Multiply (6 + 11p + 6p2 + p3) * (4 + p)
(6(4 + p) + 11p * (4 + p) + 6p2 * (4 + p) + p3(4 + p)) + -8 = 0
((4 * 6 + p * 6) + 11p * (4 + p) + 6p2 * (4 + p) + p3(4 + p)) + -8 = 0
((24 + 6p) + 11p * (4 + p) + 6p2 * (4 + p) + p3(4 + p)) + -8 = 0
(24 + 6p + (4 * 11p + p * 11p) + 6p2 * (4 + p) + p3(4 + p)) + -8 = 0
(24 + 6p + (44p + 11p2) + 6p2 * (4 + p) + p3(4 + p)) + -8 = 0
(24 + 6p + 44p + 11p2 + (4 * 6p2 + p * 6p2) + p3(4 + p)) + -8 = 0
(24 + 6p + 44p + 11p2 + (24p2 + 6p3) + p3(4 + p)) + -8 = 0
(24 + 6p + 44p + 11p2 + 24p2 + 6p3 + (4 * p3 + p * p3)) + -8 = 0
(24 + 6p + 44p + 11p2 + 24p2 + 6p3 + (4p3 + p4)) + -8 = 0

Combine like terms: 6p + 44p = 50p
(24 + 50p + 11p2 + 24p2 + 6p3 + 4p3 + p4) + -8 = 0

Combine like terms: 11p2 + 24p2 = 35p2
(24 + 50p + 35p2 + 6p3 + 4p3 + p4) + -8 = 0

Combine like terms: 6p3 + 4p3 = 10p3
(24 + 50p + 35p2 + 10p3 + p4) + -8 = 0

Reorder the terms:
24 + -8 + 50p + 35p2 + 10p3 + p4 = 0

Combine like terms: 24 + -8 = 16
16 + 50p + 35p2 + 10p3 + p4 = 0

Solving
16 + 50p + 35p2 + 10p3 + p4 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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