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

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


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

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

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

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

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

Solving
15 + -3P + -5p + pP = p

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 + -3P + -5p + -15 + pP = -15 + p

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

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

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

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

Combine like terms: p + 5p = 6p
-3P + pP = -15 + 6p

Reorder the terms:
15 + -3P + -6p + pP = -15 + 6p + 15 + -6p

Reorder the terms:
15 + -3P + -6p + pP = -15 + 15 + 6p + -6p

Combine like terms: -15 + 15 = 0
15 + -3P + -6p + pP = 0 + 6p + -6p
15 + -3P + -6p + pP = 6p + -6p

Combine like terms: 6p + -6p = 0
15 + -3P + -6p + pP = 0

The solution to this equation could not be determined.

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