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

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


Simplifying
(P + 7)(p2)(p + -2) = 0

Reorder the terms:
(7 + P)(p2)(p + -2) = 0

Reorder the terms:
(7 + P) * p2(-2 + p) = 0

Reorder the terms for easier multiplication:
p2(7 + P)(-2 + p) = 0

Multiply (7 + P) * (-2 + p)
p2(7(-2 + p) + P(-2 + p)) = 0
p2((-2 * 7 + p * 7) + P(-2 + p)) = 0
p2((-14 + 7p) + P(-2 + p)) = 0
p2(-14 + 7p + (-2 * P + p * P)) = 0
p2(-14 + 7p + (-2P + pP)) = 0

Reorder the terms:
p2(-14 + -2P + 7p + pP) = 0
p2(-14 + -2P + 7p + pP) = 0
(-14 * p2 + -2P * p2 + 7p * p2 + pP * p2) = 0
(-14p2 + -2p2P + 7p3 + p3P) = 0

Solving
-14p2 + -2p2P + 7p3 + p3P = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-14 + -2P + 7p + pP) = 0


Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}

Subproblem 2
Set the factor '(-14 + -2P + 7p + pP)' equal to zero and attempt to solve:

Simplifying
-14 + -2P + 7p + pP = 0

Solving
-14 + -2P + 7p + pP = 0

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 = 0 + 14

Reorder the terms:
-14 + 14 + -2P + 7p + pP = 0 + 14

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

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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