(P+3)(p-5)=p(p+3)

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


Simplifying
(P + 3)(p + -5) = p(p + 3)

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

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

Multiply (3 + P) * (-5 + p)
(3(-5 + p) + P(-5 + p)) = p(p + 3)
((-5 * 3 + p * 3) + P(-5 + p)) = p(p + 3)
((-15 + 3p) + P(-5 + p)) = p(p + 3)
(-15 + 3p + (-5 * P + p * P)) = p(p + 3)
(-15 + 3p + (-5P + pP)) = p(p + 3)

Reorder the terms:
(-15 + -5P + 3p + pP) = p(p + 3)
(-15 + -5P + 3p + pP) = p(p + 3)

Reorder the terms:
-15 + -5P + 3p + pP = p(3 + p)
-15 + -5P + 3p + pP = (3 * p + p * p)
-15 + -5P + 3p + pP = (3p + p2)

Add '-3p' to each side of the equation.
-15 + -5P + 3p + -3p + pP = 3p + -3p + p2

Combine like terms: 3p + -3p = 0
-15 + -5P + 0 + pP = 3p + -3p + p2
-15 + -5P + pP = 3p + -3p + p2

Combine like terms: 3p + -3p = 0
-15 + -5P + pP = 0 + p2
-15 + -5P + pP = p2

Solving
-15 + -5P + pP = p2

Solving for variable 'P'.

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

Add '15' to each side of the equation.
-15 + -5P + 15 + pP = 15 + p2

Reorder the terms:
-15 + 15 + -5P + pP = 15 + p2

Combine like terms: -15 + 15 = 0
0 + -5P + pP = 15 + p2
-5P + pP = 15 + p2

Reorder the terms:
-15 + -5P + pP + -1p2 = 15 + p2 + -15 + -1p2

Reorder the terms:
-15 + -5P + pP + -1p2 = 15 + -15 + p2 + -1p2

Combine like terms: 15 + -15 = 0
-15 + -5P + pP + -1p2 = 0 + p2 + -1p2
-15 + -5P + pP + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-15 + -5P + pP + -1p2 = 0

The solution to this equation could not be determined.

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