(p*p*p)-(2p*p)-63p=0

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Solution for (p*p*p)-(2p*p)-63p=0 equation: 


Simplifying
(p * p * p) + -1(2p * p) + -63p = 0

Multiply p * p
(p2 * p) + -1(2p * p) + -63p = 0

Multiply p2 * p
(p3) + -1(2p * p) + -63p = 0
p3 + -1(2p * p) + -63p = 0

Multiply p * p
p3 + -1(2p2) + -63p = 0

Remove parenthesis around (2p2)
p3 + -1 * 2p2 + -63p = 0

Multiply -1 * 2
p3 + -2p2 + -63p = 0

Reorder the terms:
-63p + -2p2 + p3 = 0

Solving
-63p + -2p2 + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-63 + -2p + p2) = 0

Factor a trinomial.
p((-7 + -1p)(9 + -1p)) = 0


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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-7 + -1p)' equal to zero and attempt to solve:

Simplifying
-7 + -1p = 0

Solving
-7 + -1p = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1p = 0 + 7
-1p = 0 + 7

Combine like terms: 0 + 7 = 7
-1p = 7

Divide each side by '-1'.
p = -7

Simplifying
p = -7

Subproblem 3
Set the factor '(9 + -1p)' equal to zero and attempt to solve:

Simplifying
9 + -1p = 0

Solving
9 + -1p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1p = 0 + -9
-1p = 0 + -9

Combine like terms: 0 + -9 = -9
-1p = -9

Divide each side by '-1'.
p = 9

Simplifying
p = 9
Solution
p = {0, -7, 9}

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