(y*y+z*z)p-xyq=-3x

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Solution for (y*y+z*z)p-xyq=-3x equation: 


Simplifying
(y * y + z * z) * p + -1xyq = -3x

Multiply y * y
(y2 + z * z) * p + -1xyq = -3x

Multiply z * z
(y2 + z2) * p + -1xyq = -3x

Reorder the terms for easier multiplication:
p(y2 + z2) + -1xyq = -3x
(y2 * p + z2 * p) + -1xyq = -3x
(py2 + pz2) + -1xyq = -3x

Solving
py2 + pz2 + -1qxy = -3x

Solving for variable 'p'.

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

Add 'qxy' to each side of the equation.
py2 + pz2 + -1qxy + qxy = qxy + -3x

Combine like terms: -1qxy + qxy = 0
py2 + pz2 + 0 = qxy + -3x
py2 + pz2 = qxy + -3x

Reorder the terms:
py2 + pz2 + -1qxy + 3x = qxy + -1qxy + -3x + 3x

Combine like terms: qxy + -1qxy = 0
py2 + pz2 + -1qxy + 3x = 0 + -3x + 3x
py2 + pz2 + -1qxy + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
py2 + pz2 + -1qxy + 3x = 0

The solution to this equation could not be determined.

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