5p^4+9p^2q^2+4p^2q^2=

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


Simplifying
5p4 + 9p2q2 + 4p2q2 = 0

Reorder the terms:
9p2q2 + 4p2q2 + 5p4 = 0

Combine like terms: 9p2q2 + 4p2q2 = 13p2q2
13p2q2 + 5p4 = 0

Solving
13p2q2 + 5p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(13q2 + 5p2) = 0


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 '(13q2 + 5p2)' equal to zero and attempt to solve:

Simplifying
13q2 + 5p2 = 0

Reorder the terms:
5p2 + 13q2 = 0

Solving
5p2 + 13q2 = 0

Move all terms containing p to the left, all other terms to the right.

Add '-13q2' to each side of the equation.
5p2 + 13q2 + -13q2 = 0 + -13q2

Combine like terms: 13q2 + -13q2 = 0
5p2 + 0 = 0 + -13q2
5p2 = 0 + -13q2
Remove the zero:
5p2 = -13q2

Divide each side by '5'.
p2 = -2.6q2

Simplifying
p2 = -2.6q2

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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