8p^2(p-3)(p^2-4)(p+5)=0

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Solution for 8p^2(p-3)(p^2-4)(p+5)=0 equation: 


Simplifying
8p2(p + -3)(p2 + -4)(p + 5) = 0

Reorder the terms:
8p2(-3 + p)(p2 + -4)(p + 5) = 0

Reorder the terms:
8p2(-3 + p)(-4 + p2)(p + 5) = 0

Reorder the terms:
8p2(-3 + p)(-4 + p2)(5 + p) = 0

Multiply (-3 + p) * (-4 + p2)
8p2(-3(-4 + p2) + p(-4 + p2))(5 + p) = 0
8p2((-4 * -3 + p2 * -3) + p(-4 + p2))(5 + p) = 0
8p2((12 + -3p2) + p(-4 + p2))(5 + p) = 0
8p2(12 + -3p2 + (-4 * p + p2 * p))(5 + p) = 0
8p2(12 + -3p2 + (-4p + p3))(5 + p) = 0

Reorder the terms:
8p2(12 + -4p + -3p2 + p3)(5 + p) = 0
8p2(12 + -4p + -3p2 + p3)(5 + p) = 0

Multiply (12 + -4p + -3p2 + p3) * (5 + p)
8p2(12(5 + p) + -4p * (5 + p) + -3p2 * (5 + p) + p3(5 + p)) = 0
8p2((5 * 12 + p * 12) + -4p * (5 + p) + -3p2 * (5 + p) + p3(5 + p)) = 0
8p2((60 + 12p) + -4p * (5 + p) + -3p2 * (5 + p) + p3(5 + p)) = 0
8p2(60 + 12p + (5 * -4p + p * -4p) + -3p2 * (5 + p) + p3(5 + p)) = 0
8p2(60 + 12p + (-20p + -4p2) + -3p2 * (5 + p) + p3(5 + p)) = 0
8p2(60 + 12p + -20p + -4p2 + (5 * -3p2 + p * -3p2) + p3(5 + p)) = 0
8p2(60 + 12p + -20p + -4p2 + (-15p2 + -3p3) + p3(5 + p)) = 0
8p2(60 + 12p + -20p + -4p2 + -15p2 + -3p3 + (5 * p3 + p * p3)) = 0
8p2(60 + 12p + -20p + -4p2 + -15p2 + -3p3 + (5p3 + p4)) = 0

Combine like terms: 12p + -20p = -8p
8p2(60 + -8p + -4p2 + -15p2 + -3p3 + 5p3 + p4) = 0

Combine like terms: -4p2 + -15p2 = -19p2
8p2(60 + -8p + -19p2 + -3p3 + 5p3 + p4) = 0

Combine like terms: -3p3 + 5p3 = 2p3
8p2(60 + -8p + -19p2 + 2p3 + p4) = 0
(60 * 8p2 + -8p * 8p2 + -19p2 * 8p2 + 2p3 * 8p2 + p4 * 8p2) = 0
(480p2 + -64p3 + -152p4 + 16p5 + 8p6) = 0

Solving
480p2 + -64p3 + -152p4 + 16p5 + 8p6 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '8p2'.
8p2(60 + -8p + -19p2 + 2p3 + p4) = 0

Ignore the factor 8.

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 '(60 + -8p + -19p2 + 2p3 + p4)' equal to zero and attempt to solve:

Simplifying
60 + -8p + -19p2 + 2p3 + p4 = 0

Solving
60 + -8p + -19p2 + 2p3 + p4 = 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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