=9p^5q+6p^4-15p^2q^4

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Solution for =9p^5q+6p^4-15p^2q^4 equation: 


Simplifying
0 = 9p5q + 6p4 + -15p2q4

Reorder the terms:
0 = -15p2q4 + 6p4 + 9p5q

Solving
0 = -15p2q4 + 6p4 + 9p5q

Solving for variable 'p'.
Remove the zero:
15p2q4 + -6p4 + -9p5q = -15p2q4 + 6p4 + 9p5q + 15p2q4 + -6p4 + -9p5q

Reorder the terms:
15p2q4 + -6p4 + -9p5q = -15p2q4 + 15p2q4 + 6p4 + -6p4 + 9p5q + -9p5q

Combine like terms: -15p2q4 + 15p2q4 = 0
15p2q4 + -6p4 + -9p5q = 0 + 6p4 + -6p4 + 9p5q + -9p5q
15p2q4 + -6p4 + -9p5q = 6p4 + -6p4 + 9p5q + -9p5q

Combine like terms: 6p4 + -6p4 = 0
15p2q4 + -6p4 + -9p5q = 0 + 9p5q + -9p5q
15p2q4 + -6p4 + -9p5q = 9p5q + -9p5q

Combine like terms: 9p5q + -9p5q = 0
15p2q4 + -6p4 + -9p5q = 0

Factor out the Greatest Common Factor (GCF), '3p2'.
3p2(5q4 + -2p2 + -3p3q) = 0

Ignore the factor 3.

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 '(5q4 + -2p2 + -3p3q)' equal to zero and attempt to solve:

Simplifying
5q4 + -2p2 + -3p3q = 0

Reorder the terms:
-2p2 + -3p3q + 5q4 = 0

Solving
-2p2 + -3p3q + 5q4 = 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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