6p^4-24q^2=0

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Solution for 6p^4-24q^2=0 equation: 


Simplifying
6p4 + -24q2 = 0

Solving
6p4 + -24q2 = 0

Solving for variable 'p'.

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

Add '24q2' to each side of the equation.
6p4 + -24q2 + 24q2 = 0 + 24q2

Combine like terms: -24q2 + 24q2 = 0
6p4 + 0 = 0 + 24q2
6p4 = 0 + 24q2
Remove the zero:
6p4 = 24q2

Divide each side by '6'.
p4 = 4q2

Simplifying
p4 = 4q2

Combine like terms: 4q2 + -4q2 = 0
p4 + -4q2 = 0

Factor a difference between two squares.
(p2 + 2q)(p2 + -2q) = 0


Subproblem 1
Set the factor '(p2 + 2q)' equal to zero and attempt to solve:

Simplifying
p2 + 2q = 0

Solving
p2 + 2q = 0

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

Add '-2q' to each side of the equation.
p2 + 2q + -2q = 0 + -2q

Combine like terms: 2q + -2q = 0
p2 + 0 = 0 + -2q
p2 = 0 + -2q
Remove the zero:
p2 = -2q

Simplifying
p2 = -2q

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(p2 + -2q)' equal to zero and attempt to solve:

Simplifying
p2 + -2q = 0

Solving
p2 + -2q = 0

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

Add '2q' to each side of the equation.
p2 + -2q + 2q = 0 + 2q

Combine like terms: -2q + 2q = 0
p2 + 0 = 0 + 2q
p2 = 0 + 2q
Remove the zero:
p2 = 2q

Simplifying
p2 = 2q

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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