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

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

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

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

Multiply x² * p
px²(y + -1z) + y²(z + -1x) * q = z²(x + -1y)
(y * px² + -1z * px²) + y²(z + -1x) * q = z²(x + -1y)
(px²y + -1px²z) + y²(z + -1x) * q = z²(x + -1y)

Reorder the terms:
px²y + -1px²z + y²(-1x + z) * q = z²(x + -1y)

Reorder the terms for easier multiplication:
px²y + -1px²z + y² * q(-1x + z) = z²(x + -1y)

Multiply y² * q
px²y + -1px²z + qy²(-1x + z) = z²(x + -1y)
px²y + -1px²z + (-1x * qy² + z * qy²) = z²(x + -1y)
px²y + -1px²z + (-1qxy² + qy²z) = z²(x + -1y)
px²y + -1px²z + -1qxy² + qy²z = (x * z² + -1y * z²)
px²y + -1px²z + -1qxy² + qy²z = (xz² + -1yz²)

Solving
px²y + -1px²z + -1qxy² + qy²z = xz² + -1yz²

Solving for variable 'p'.

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

Add 'qxy²' to each side of the equation.
px²y + -1px²z + -1qxy² + qxy² + qy²z = xz² + qxy² + -1yz²

Combine like terms: -1qxy² + qxy² = 0
px²y + -1px²z + 0 + qy²z = xz² + qxy² + -1yz²
px²y + -1px²z + qy²z = xz² + qxy² + -1yz²

Reorder the terms:
px²y + -1px²z + qy²z = qxy² + xz² + -1yz²

Add '-1qy²z' to each side of the equation.
px²y + -1px²z + qy²z + -1qy²z = qxy² + xz² + -1qy²z + -1yz²

Combine like terms: qy²z + -1qy²z = 0
px²y + -1px²z + 0 = qxy² + xz² + -1qy²z + -1yz²
px²y + -1px²z = qxy² + xz² + -1qy²z + -1yz²

Reorder the terms:
px²y + -1px²z = qxy² + -1qy²z + xz² + -1yz²

Reorder the terms:
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = qxy² + -1qxy² + -1qy²z + qy²z + xz² + -1xz² + -1yz² + yz²

Combine like terms: qxy² + -1qxy² = 0
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = 0 + -1qy²z + qy²z + xz² + -1xz² + -1yz² + yz²
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = -1qy²z + qy²z + xz² + -1xz² + -1yz² + yz²

Combine like terms: -1qy²z + qy²z = 0
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = 0 + xz² + -1xz² + -1yz² + yz²
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = xz² + -1xz² + -1yz² + yz²

Combine like terms: xz² + -1xz² = 0
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = 0 + -1yz² + yz²
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = -1yz² + yz²

Combine like terms: -1yz² + yz² = 0
px²y + -1px²z + -1qxy² + qy²z + -1xz² + yz² = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for x^2(y-z)p+y^2(z-x)q=z^2(x-y) 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^2(y-z)p+y^2(z-x)q=z^2(x-y) equation:

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