(2p^2+6p)(5p^2-4)=

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Solution for (2p^2+6p)(5p^2-4)= equation: 


Simplifying
(2p2 + 6p)(5p2 + -4) = 0

Reorder the terms:
(6p + 2p2)(5p2 + -4) = 0

Reorder the terms:
(6p + 2p2)(-4 + 5p2) = 0

Multiply (6p + 2p2) * (-4 + 5p2)
(6p * (-4 + 5p2) + 2p2 * (-4 + 5p2)) = 0
((-4 * 6p + 5p2 * 6p) + 2p2 * (-4 + 5p2)) = 0
((-24p + 30p3) + 2p2 * (-4 + 5p2)) = 0
(-24p + 30p3 + (-4 * 2p2 + 5p2 * 2p2)) = 0
(-24p + 30p3 + (-8p2 + 10p4)) = 0

Reorder the terms:
(-24p + -8p2 + 30p3 + 10p4) = 0
(-24p + -8p2 + 30p3 + 10p4) = 0

Solving
-24p + -8p2 + 30p3 + 10p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(-12 + -4p + 15p2 + 5p3) = 0

Ignore the factor 2.

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 '(-12 + -4p + 15p2 + 5p3)' equal to zero and attempt to solve:

Simplifying
-12 + -4p + 15p2 + 5p3 = 0

Solving
-12 + -4p + 15p2 + 5p3 = 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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