(2p+1)(p-1)(p+4)=2p+mp+n

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Solution for (2p+1)(p-1)(p+4)=2p+mp+n equation: 


Simplifying
(2p + 1)(p + -1)(p + 4) = 2p + mp + n

Reorder the terms:
(1 + 2p)(p + -1)(p + 4) = 2p + mp + n

Reorder the terms:
(1 + 2p)(-1 + p)(p + 4) = 2p + mp + n

Reorder the terms:
(1 + 2p)(-1 + p)(4 + p) = 2p + mp + n

Multiply (1 + 2p) * (-1 + p)
(1(-1 + p) + 2p * (-1 + p))(4 + p) = 2p + mp + n
((-1 * 1 + p * 1) + 2p * (-1 + p))(4 + p) = 2p + mp + n
((-1 + 1p) + 2p * (-1 + p))(4 + p) = 2p + mp + n
(-1 + 1p + (-1 * 2p + p * 2p))(4 + p) = 2p + mp + n
(-1 + 1p + (-2p + 2p2))(4 + p) = 2p + mp + n

Combine like terms: 1p + -2p = -1p
(-1 + -1p + 2p2)(4 + p) = 2p + mp + n

Multiply (-1 + -1p + 2p2) * (4 + p)
(-1(4 + p) + -1p * (4 + p) + 2p2 * (4 + p)) = 2p + mp + n
((4 * -1 + p * -1) + -1p * (4 + p) + 2p2 * (4 + p)) = 2p + mp + n
((-4 + -1p) + -1p * (4 + p) + 2p2 * (4 + p)) = 2p + mp + n
(-4 + -1p + (4 * -1p + p * -1p) + 2p2 * (4 + p)) = 2p + mp + n
(-4 + -1p + (-4p + -1p2) + 2p2 * (4 + p)) = 2p + mp + n
(-4 + -1p + -4p + -1p2 + (4 * 2p2 + p * 2p2)) = 2p + mp + n
(-4 + -1p + -4p + -1p2 + (8p2 + 2p3)) = 2p + mp + n

Combine like terms: -1p + -4p = -5p
(-4 + -5p + -1p2 + 8p2 + 2p3) = 2p + mp + n

Combine like terms: -1p2 + 8p2 = 7p2
(-4 + -5p + 7p2 + 2p3) = 2p + mp + n

Reorder the terms:
-4 + -5p + 7p2 + 2p3 = mp + n + 2p

Solving
-4 + -5p + 7p2 + 2p3 = mp + n + 2p

Solving for variable 'p'.

Reorder the terms:
-4 + -1mp + -1n + -5p + -2p + 7p2 + 2p3 = mp + n + 2p + -1mp + -1n + -2p

Combine like terms: -5p + -2p = -7p
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = mp + n + 2p + -1mp + -1n + -2p

Reorder the terms:
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = mp + -1mp + n + -1n + 2p + -2p

Combine like terms: mp + -1mp = 0
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = 0 + n + -1n + 2p + -2p
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = n + -1n + 2p + -2p

Combine like terms: n + -1n = 0
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = 0 + 2p + -2p
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = 2p + -2p

Combine like terms: 2p + -2p = 0
-4 + -1mp + -1n + -7p + 7p2 + 2p3 = 0

The solution to this equation could not be determined.

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