(5p^2-3)=(2p^2-3p^3)

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


Simplifying
(5p2 + -3) = (2p2 + -3p3)

Reorder the terms:
(-3 + 5p2) = (2p2 + -3p3)

Remove parenthesis around (-3 + 5p2)
-3 + 5p2 = (2p2 + -3p3)

Remove parenthesis around (2p2 + -3p3)
-3 + 5p2 = 2p2 + -3p3

Solving
-3 + 5p2 = 2p2 + -3p3

Solving for variable 'p'.

Combine like terms: 5p2 + -2p2 = 3p2
-3 + 3p2 + 3p3 = 2p2 + -3p3 + -2p2 + 3p3

Reorder the terms:
-3 + 3p2 + 3p3 = 2p2 + -2p2 + -3p3 + 3p3

Combine like terms: 2p2 + -2p2 = 0
-3 + 3p2 + 3p3 = 0 + -3p3 + 3p3
-3 + 3p2 + 3p3 = -3p3 + 3p3

Combine like terms: -3p3 + 3p3 = 0
-3 + 3p2 + 3p3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + p2 + p3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + p2 + p3)' equal to zero and attempt to solve:

Simplifying
-1 + p2 + p3 = 0

Solving
-1 + p2 + p3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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