p^2x^2+(p^2-q^2)x-q^2=0

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Solution for p^2x^2+(p^2-q^2)x-q^2=0 equation: 


Simplifying
p2x2 + (p2 + -1q2) * x + -1q2 = 0

Reorder the terms for easier multiplication:
p2x2 + x(p2 + -1q2) + -1q2 = 0
p2x2 + (p2 * x + -1q2 * x) + -1q2 = 0
p2x2 + (p2x + -1q2x) + -1q2 = 0

Reorder the terms:
p2x + p2x2 + -1q2 + -1q2x = 0

Solving
p2x + p2x2 + -1q2 + -1q2x = 0

Solving for variable 'p'.

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

Add 'q2' to each side of the equation.
p2x + p2x2 + -1q2 + q2 + -1q2x = 0 + q2

Combine like terms: -1q2 + q2 = 0
p2x + p2x2 + 0 + -1q2x = 0 + q2
p2x + p2x2 + -1q2x = 0 + q2
Remove the zero:
p2x + p2x2 + -1q2x = q2

Add 'q2x' to each side of the equation.
p2x + p2x2 + -1q2x + q2x = q2 + q2x

Combine like terms: -1q2x + q2x = 0
p2x + p2x2 + 0 = q2 + q2x
p2x + p2x2 = q2 + q2x

Reorder the terms:
p2x + p2x2 + -1q2 + -1q2x = q2 + -1q2 + q2x + -1q2x

Combine like terms: q2 + -1q2 = 0
p2x + p2x2 + -1q2 + -1q2x = 0 + q2x + -1q2x
p2x + p2x2 + -1q2 + -1q2x = q2x + -1q2x

Combine like terms: q2x + -1q2x = 0
p2x + p2x2 + -1q2 + -1q2x = 0

The solution to this equation could not be determined.

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