p^2+3p=p(p+4)

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


Simplifying
p2 + 3p = p(p + 4)

Reorder the terms:
3p + p2 = p(p + 4)

Reorder the terms:
3p + p2 = p(4 + p)
3p + p2 = (4 * p + p * p)
3p + p2 = (4p + p2)

Add '-1p2' to each side of the equation.
3p + p2 + -1p2 = 4p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
3p + 0 = 4p + p2 + -1p2
3p = 4p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
3p = 4p + 0
3p = 4p

Solving
3p = 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
3p + -4p = 4p + -4p

Combine like terms: 3p + -4p = -1p
-1p = 4p + -4p

Combine like terms: 4p + -4p = 0
-1p = 0

Divide each side by '-1'.
p = 0

Simplifying
p = 0

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