(p^2+3p)(9p^2-6p-5)=

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Solution for (p^2+3p)(9p^2-6p-5)= equation: 


Simplifying
(p2 + 3p)(9p2 + -6p + -5) = 0

Reorder the terms:
(3p + p2)(9p2 + -6p + -5) = 0

Reorder the terms:
(3p + p2)(-5 + -6p + 9p2) = 0

Multiply (3p + p2) * (-5 + -6p + 9p2)
(3p * (-5 + -6p + 9p2) + p2(-5 + -6p + 9p2)) = 0
((-5 * 3p + -6p * 3p + 9p2 * 3p) + p2(-5 + -6p + 9p2)) = 0
((-15p + -18p2 + 27p3) + p2(-5 + -6p + 9p2)) = 0
(-15p + -18p2 + 27p3 + (-5 * p2 + -6p * p2 + 9p2 * p2)) = 0
(-15p + -18p2 + 27p3 + (-5p2 + -6p3 + 9p4)) = 0

Reorder the terms:
(-15p + -18p2 + -5p2 + 27p3 + -6p3 + 9p4) = 0

Combine like terms: -18p2 + -5p2 = -23p2
(-15p + -23p2 + 27p3 + -6p3 + 9p4) = 0

Combine like terms: 27p3 + -6p3 = 21p3
(-15p + -23p2 + 21p3 + 9p4) = 0

Solving
-15p + -23p2 + 21p3 + 9p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-15 + -23p + 21p2 + 9p3) = 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 '(-15 + -23p + 21p2 + 9p3)' equal to zero and attempt to solve:

Simplifying
-15 + -23p + 21p2 + 9p3 = 0

Solving
-15 + -23p + 21p2 + 9p3 = 0

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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