(p+2)(p-3)(p-4)=p(2p-5)

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Solution for (p+2)(p-3)(p-4)=p(2p-5) equation: 


Simplifying
(p + 2)(p + -3)(p + -4) = p(2p + -5)

Reorder the terms:
(2 + p)(p + -3)(p + -4) = p(2p + -5)

Reorder the terms:
(2 + p)(-3 + p)(p + -4) = p(2p + -5)

Reorder the terms:
(2 + p)(-3 + p)(-4 + p) = p(2p + -5)

Multiply (2 + p) * (-3 + p)
(2(-3 + p) + p(-3 + p))(-4 + p) = p(2p + -5)
((-3 * 2 + p * 2) + p(-3 + p))(-4 + p) = p(2p + -5)
((-6 + 2p) + p(-3 + p))(-4 + p) = p(2p + -5)
(-6 + 2p + (-3 * p + p * p))(-4 + p) = p(2p + -5)
(-6 + 2p + (-3p + p2))(-4 + p) = p(2p + -5)

Combine like terms: 2p + -3p = -1p
(-6 + -1p + p2)(-4 + p) = p(2p + -5)

Multiply (-6 + -1p + p2) * (-4 + p)
(-6(-4 + p) + -1p * (-4 + p) + p2(-4 + p)) = p(2p + -5)
((-4 * -6 + p * -6) + -1p * (-4 + p) + p2(-4 + p)) = p(2p + -5)
((24 + -6p) + -1p * (-4 + p) + p2(-4 + p)) = p(2p + -5)
(24 + -6p + (-4 * -1p + p * -1p) + p2(-4 + p)) = p(2p + -5)
(24 + -6p + (4p + -1p2) + p2(-4 + p)) = p(2p + -5)
(24 + -6p + 4p + -1p2 + (-4 * p2 + p * p2)) = p(2p + -5)
(24 + -6p + 4p + -1p2 + (-4p2 + p3)) = p(2p + -5)

Combine like terms: -6p + 4p = -2p
(24 + -2p + -1p2 + -4p2 + p3) = p(2p + -5)

Combine like terms: -1p2 + -4p2 = -5p2
(24 + -2p + -5p2 + p3) = p(2p + -5)

Reorder the terms:
24 + -2p + -5p2 + p3 = p(-5 + 2p)
24 + -2p + -5p2 + p3 = (-5 * p + 2p * p)
24 + -2p + -5p2 + p3 = (-5p + 2p2)

Solving
24 + -2p + -5p2 + p3 = -5p + 2p2

Solving for variable 'p'.

Reorder the terms:
24 + -2p + 5p + -5p2 + -2p2 + p3 = -5p + 2p2 + 5p + -2p2

Combine like terms: -2p + 5p = 3p
24 + 3p + -5p2 + -2p2 + p3 = -5p + 2p2 + 5p + -2p2

Combine like terms: -5p2 + -2p2 = -7p2
24 + 3p + -7p2 + p3 = -5p + 2p2 + 5p + -2p2

Reorder the terms:
24 + 3p + -7p2 + p3 = -5p + 5p + 2p2 + -2p2

Combine like terms: -5p + 5p = 0
24 + 3p + -7p2 + p3 = 0 + 2p2 + -2p2
24 + 3p + -7p2 + p3 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
24 + 3p + -7p2 + p3 = 0

The solution to this equation could not be determined.

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