p^2+q^2=z^2(x+y)

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Solution for p^2+q^2=z^2(x+y) equation: 


Simplifying
p2 + q2 = z2(x + y)
p2 + q2 = (x * z2 + y * z2)
p2 + q2 = (xz2 + yz2)

Solving
p2 + q2 = xz2 + yz2

Solving for variable 'p'.

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

Add '-1q2' to each side of the equation.
p2 + q2 + -1q2 = xz2 + -1q2 + yz2

Combine like terms: q2 + -1q2 = 0
p2 + 0 = xz2 + -1q2 + yz2
p2 = xz2 + -1q2 + yz2

Reorder the terms:
p2 = -1q2 + xz2 + yz2

Simplifying
p2 = -1q2 + xz2 + yz2

Reorder the terms:
p2 + q2 + -1xz2 + -1yz2 = -1q2 + q2 + xz2 + -1xz2 + yz2 + -1yz2

Combine like terms: -1q2 + q2 = 0
p2 + q2 + -1xz2 + -1yz2 = 0 + xz2 + -1xz2 + yz2 + -1yz2
p2 + q2 + -1xz2 + -1yz2 = xz2 + -1xz2 + yz2 + -1yz2

Combine like terms: xz2 + -1xz2 = 0
p2 + q2 + -1xz2 + -1yz2 = 0 + yz2 + -1yz2
p2 + q2 + -1xz2 + -1yz2 = yz2 + -1yz2

Combine like terms: yz2 + -1yz2 = 0
p2 + q2 + -1xz2 + -1yz2 = 0

The solution to this equation could not be determined.

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