(P+7)(p-2)=p-9

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Solution for (P+7)(p-2)=p-9 equation: 


Simplifying
(P + 7)(p + -2) = p + -9

Reorder the terms:
(7 + P)(p + -2) = p + -9

Reorder the terms:
(7 + P)(-2 + p) = p + -9

Multiply (7 + P) * (-2 + p)
(7(-2 + p) + P(-2 + p)) = p + -9
((-2 * 7 + p * 7) + P(-2 + p)) = p + -9
((-14 + 7p) + P(-2 + p)) = p + -9
(-14 + 7p + (-2 * P + p * P)) = p + -9
(-14 + 7p + (-2P + pP)) = p + -9

Reorder the terms:
(-14 + -2P + 7p + pP) = p + -9
(-14 + -2P + 7p + pP) = p + -9

Reorder the terms:
-14 + -2P + 7p + pP = -9 + p

Solving
-14 + -2P + 7p + pP = -9 + p

Solving for variable 'P'.

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

Add '14' to each side of the equation.
-14 + -2P + 7p + 14 + pP = -9 + 14 + p

Reorder the terms:
-14 + 14 + -2P + 7p + pP = -9 + 14 + p

Combine like terms: -14 + 14 = 0
0 + -2P + 7p + pP = -9 + 14 + p
-2P + 7p + pP = -9 + 14 + p

Combine like terms: -9 + 14 = 5
-2P + 7p + pP = 5 + p

Add '-7p' to each side of the equation.
-2P + 7p + -7p + pP = 5 + p + -7p

Combine like terms: 7p + -7p = 0
-2P + 0 + pP = 5 + p + -7p
-2P + pP = 5 + p + -7p

Combine like terms: p + -7p = -6p
-2P + pP = 5 + -6p

Reorder the terms:
-5 + -2P + 6p + pP = 5 + -6p + -5 + 6p

Reorder the terms:
-5 + -2P + 6p + pP = 5 + -5 + -6p + 6p

Combine like terms: 5 + -5 = 0
-5 + -2P + 6p + pP = 0 + -6p + 6p
-5 + -2P + 6p + pP = -6p + 6p

Combine like terms: -6p + 6p = 0
-5 + -2P + 6p + pP = 0

The solution to this equation could not be determined.

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