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Simplifying (x2 + -1y2 + -1z2) * P + 2xyq = 2zx Reorder the terms for easier multiplication: P(x2 + -1y2 + -1z2) + 2xyq = 2zx (x2 * P + -1y2 * P + -1z2 * P) + 2xyq = 2zx (x2P + -1y2P + -1z2P) + 2xyq = 2zx Reorder the terms: 2qxy + x2P + -1y2P + -1z2P = 2zx Solving 2qxy + x2P + -1y2P + -1z2P = 2xz Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1x2P' to each side of the equation. 2qxy + x2P + -1y2P + -1x2P + -1z2P = 2xz + -1x2P Reorder the terms: 2qxy + x2P + -1x2P + -1y2P + -1z2P = 2xz + -1x2P Combine like terms: x2P + -1x2P = 0 2qxy + 0 + -1y2P + -1z2P = 2xz + -1x2P 2qxy + -1y2P + -1z2P = 2xz + -1x2P Add 'y2P' to each side of the equation. 2qxy + -1y2P + y2P + -1z2P = 2xz + -1x2P + y2P Combine like terms: -1y2P + y2P = 0 2qxy + 0 + -1z2P = 2xz + -1x2P + y2P 2qxy + -1z2P = 2xz + -1x2P + y2P Add 'z2P' to each side of the equation. 2qxy + -1z2P + z2P = 2xz + -1x2P + y2P + z2P Combine like terms: -1z2P + z2P = 0 2qxy + 0 = 2xz + -1x2P + y2P + z2P 2qxy = 2xz + -1x2P + y2P + z2P Divide each side by '2xy'. q = y-1z + -0.5xy-1P + 0.5x-1yP + 0.5x-1y-1z2P Simplifying q = y-1z + -0.5xy-1P + 0.5x-1yP + 0.5x-1y-1z2P Reorder the terms: q = 0.5x-1y-1z2P + 0.5x-1yP + -0.5xy-1P + y-1z
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