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Simplifying x(y + -1z) * p + y(z + -1x) * q = z(x + -1y) Reorder the terms for easier multiplication: x * p(y + -1z) + y(z + -1x) * q = z(x + -1y) Multiply x * p px(y + -1z) + y(z + -1x) * q = z(x + -1y) (y * px + -1z * px) + y(z + -1x) * q = z(x + -1y) (pxy + -1pxz) + y(z + -1x) * q = z(x + -1y) Reorder the terms: pxy + -1pxz + y(-1x + z) * q = z(x + -1y) Reorder the terms for easier multiplication: pxy + -1pxz + y * q(-1x + z) = z(x + -1y) Multiply y * q pxy + -1pxz + qy(-1x + z) = z(x + -1y) pxy + -1pxz + (-1x * qy + z * qy) = z(x + -1y) pxy + -1pxz + (-1qxy + qyz) = z(x + -1y) pxy + -1pxz + -1qxy + qyz = (x * z + -1y * z) pxy + -1pxz + -1qxy + qyz = (xz + -1yz) Solving pxy + -1pxz + -1qxy + qyz = xz + -1yz 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. pxy + -1pxz + -1qxy + qxy + qyz = xz + qxy + -1yz Combine like terms: -1qxy + qxy = 0 pxy + -1pxz + 0 + qyz = xz + qxy + -1yz pxy + -1pxz + qyz = xz + qxy + -1yz Reorder the terms: pxy + -1pxz + qyz = qxy + xz + -1yz Add '-1qyz' to each side of the equation. pxy + -1pxz + qyz + -1qyz = qxy + xz + -1qyz + -1yz Combine like terms: qyz + -1qyz = 0 pxy + -1pxz + 0 = qxy + xz + -1qyz + -1yz pxy + -1pxz = qxy + xz + -1qyz + -1yz Reorder the terms: pxy + -1pxz = qxy + -1qyz + xz + -1yz Reorder the terms: pxy + -1pxz + -1qxy + qyz + -1xz + yz = qxy + -1qxy + -1qyz + qyz + xz + -1xz + -1yz + yz Combine like terms: qxy + -1qxy = 0 pxy + -1pxz + -1qxy + qyz + -1xz + yz = 0 + -1qyz + qyz + xz + -1xz + -1yz + yz pxy + -1pxz + -1qxy + qyz + -1xz + yz = -1qyz + qyz + xz + -1xz + -1yz + yz Combine like terms: -1qyz + qyz = 0 pxy + -1pxz + -1qxy + qyz + -1xz + yz = 0 + xz + -1xz + -1yz + yz pxy + -1pxz + -1qxy + qyz + -1xz + yz = xz + -1xz + -1yz + yz Combine like terms: xz + -1xz = 0 pxy + -1pxz + -1qxy + qyz + -1xz + yz = 0 + -1yz + yz pxy + -1pxz + -1qxy + qyz + -1xz + yz = -1yz + yz Combine like terms: -1yz + yz = 0 pxy + -1pxz + -1qxy + qyz + -1xz + yz = 0 The solution to this equation could not be determined.
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