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

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


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

Reorder the terms:
p(2 + p) + 3p = p(p + -3)
(2 * p + p * p) + 3p = p(p + -3)
(2p + p2) + 3p = p(p + -3)

Reorder the terms:
2p + 3p + p2 = p(p + -3)

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

Reorder the terms:
5p + p2 = p(-3 + p)
5p + p2 = (-3 * p + p * p)
5p + p2 = (-3p + p2)

Add '-1p2' to each side of the equation.
5p + p2 + -1p2 = -3p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
5p + 0 = -3p + p2 + -1p2
5p = -3p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
5p = -3p + 0
5p = -3p

Solving
5p = -3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '3p' to each side of the equation.
5p + 3p = -3p + 3p

Combine like terms: 5p + 3p = 8p
8p = -3p + 3p

Combine like terms: -3p + 3p = 0
8p = 0

Divide each side by '8'.
p = 0

Simplifying
p = 0

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