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

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

Simplifying
x(y² + -1z²) * p + y(z² + -1x²) * q = z(x² + -1y²)

Reorder the terms for easier multiplication:
x * p(y² + -1z²) + y(z² + -1x²) * q = z(x² + -1y²)

Multiply x * p
px(y² + -1z²) + y(z² + -1x²) * q = z(x² + -1y²)
(y² * px + -1z² * px) + y(z² + -1x²) * q = z(x² + -1y²)
(pxy² + -1pxz²) + y(z² + -1x²) * q = z(x² + -1y²)

Reorder the terms:
pxy² + -1pxz² + y(-1x² + z²) * q = z(x² + -1y²)

Reorder the terms for easier multiplication:
pxy² + -1pxz² + y * q(-1x² + z²) = z(x² + -1y²)

Multiply y * q
pxy² + -1pxz² + qy(-1x² + z²) = z(x² + -1y²)
pxy² + -1pxz² + (-1x² * qy + z² * qy) = z(x² + -1y²)
pxy² + -1pxz² + (-1qx²y + qyz²) = z(x² + -1y²)
pxy² + -1pxz² + -1qx²y + qyz² = (x² * z + -1y² * z)
pxy² + -1pxz² + -1qx²y + qyz² = (x²z + -1y²z)

Solving
pxy² + -1pxz² + -1qx²y + qyz² = x²z + -1y²z

Solving for variable 'p'.

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

Add 'qx²y' to each side of the equation.
pxy² + -1pxz² + -1qx²y + qx²y + qyz² = x²z + qx²y + -1y²z

Combine like terms: -1qx²y + qx²y = 0
pxy² + -1pxz² + 0 + qyz² = x²z + qx²y + -1y²z
pxy² + -1pxz² + qyz² = x²z + qx²y + -1y²z

Reorder the terms:
pxy² + -1pxz² + qyz² = qx²y + x²z + -1y²z

Add '-1qyz²' to each side of the equation.
pxy² + -1pxz² + qyz² + -1qyz² = qx²y + x²z + -1qyz² + -1y²z

Combine like terms: qyz² + -1qyz² = 0
pxy² + -1pxz² + 0 = qx²y + x²z + -1qyz² + -1y²z
pxy² + -1pxz² = qx²y + x²z + -1qyz² + -1y²z

Reorder the terms:
pxy² + -1pxz² = qx²y + -1qyz² + x²z + -1y²z

Reorder the terms:
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = qx²y + -1qx²y + -1qyz² + qyz² + x²z + -1x²z + -1y²z + y²z

Combine like terms: qx²y + -1qx²y = 0
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = 0 + -1qyz² + qyz² + x²z + -1x²z + -1y²z + y²z
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = -1qyz² + qyz² + x²z + -1x²z + -1y²z + y²z

Combine like terms: -1qyz² + qyz² = 0
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = 0 + x²z + -1x²z + -1y²z + y²z
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = x²z + -1x²z + -1y²z + y²z

Combine like terms: x²z + -1x²z = 0
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = 0 + -1y²z + y²z
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = -1y²z + y²z

Combine like terms: -1y²z + y²z = 0
pxy² + -1pxz² + -1qx²y + qyz² + -1x²z + y²z = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for x(y^2-z^2)p+y(z^2-x^2)q=z(x^2-y^2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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

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