X^2p+y^2q-(x+y)z=0

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


Simplifying
X2p + y2q + -1(x + y) * z = 0

Reorder the terms for easier multiplication:
pX2 + qy2 + -1z(x + y) = 0
pX2 + qy2 + (x * -1z + y * -1z) = 0
pX2 + qy2 + (-1xz + -1yz) = 0

Solving
pX2 + qy2 + -1xz + -1yz = 0

Solving for variable 'p'.

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

Add '-1qy2' to each side of the equation.
pX2 + qy2 + -1xz + -1qy2 + -1yz = 0 + -1qy2

Reorder the terms:
pX2 + qy2 + -1qy2 + -1xz + -1yz = 0 + -1qy2

Combine like terms: qy2 + -1qy2 = 0
pX2 + 0 + -1xz + -1yz = 0 + -1qy2
pX2 + -1xz + -1yz = 0 + -1qy2
Remove the zero:
pX2 + -1xz + -1yz = -1qy2

Add 'xz' to each side of the equation.
pX2 + -1xz + xz + -1yz = -1qy2 + xz

Combine like terms: -1xz + xz = 0
pX2 + 0 + -1yz = -1qy2 + xz
pX2 + -1yz = -1qy2 + xz

Add 'yz' to each side of the equation.
pX2 + -1yz + yz = -1qy2 + xz + yz

Combine like terms: -1yz + yz = 0
pX2 + 0 = -1qy2 + xz + yz
pX2 = -1qy2 + xz + yz

Divide each side by 'X2'.
p = -1qy2X-2 + xzX-2 + yzX-2

Simplifying
p = -1qy2X-2 + xzX-2 + yzX-2

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