-4(p^2)(q^2)+24(p^2)(q)-4(p^4)-4(p^2)-4(q^3)+8(q^2)-4q=0

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Solution for -4(p^2)(q^2)+24(p^2)(q)-4(p^4)-4(p^2)-4(q^3)+8(q^2)-4q=0 equation: 


Simplifying
-4(p2)(q2) + 24(p2)(q) + -4(p4) + -4(p2) + -4(q3) + 8(q2) + -4q = 0

Multiply p2 * q2
-4p2q2 + 24(p2)(q) + -4(p4) + -4(p2) + -4(q3) + 8(q2) + -4q = 0

Multiply p2 * q
-4p2q2 + 24p2q + -4(p4) + -4(p2) + -4(q3) + 8(q2) + -4q = 0

Reorder the terms:
-4p2 + 24p2q + -4p2q2 + -4p4 + -4q + 8q2 + -4q3 = 0

Solving
-4p2 + 24p2q + -4p2q2 + -4p4 + -4q + 8q2 + -4q3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1p2 + 6p2q + -1p2q2 + -1p4 + -1q + 2q2 + -1q3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1p2 + 6p2q + -1p2q2 + -1p4 + -1q + 2q2 + -1q3)' equal to zero and attempt to solve:

Simplifying
-1p2 + 6p2q + -1p2q2 + -1p4 + -1q + 2q2 + -1q3 = 0

Solving
-1p2 + 6p2q + -1p2q2 + -1p4 + -1q + 2q2 + -1q3 = 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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