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Simplifying (x2 + y2) * p + 2xyq = (x + y) * z Reorder the terms for easier multiplication: p(x2 + y2) + 2xyq = (x + y) * z (x2 * p + y2 * p) + 2xyq = (x + y) * z (px2 + py2) + 2xyq = (x + y) * z Reorder the terms for easier multiplication: px2 + py2 + 2qxy = z(x + y) px2 + py2 + 2qxy = (x * z + y * z) px2 + py2 + 2qxy = (xz + yz) Solving px2 + py2 + 2qxy = xz + yz Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2qxy' to each side of the equation. px2 + py2 + 2qxy + -2qxy = xz + -2qxy + yz Combine like terms: 2qxy + -2qxy = 0 px2 + py2 + 0 = xz + -2qxy + yz px2 + py2 = xz + -2qxy + yz Reorder the terms: px2 + py2 = -2qxy + xz + yz Reorder the terms: px2 + py2 + 2qxy + -1xz + -1yz = -2qxy + 2qxy + xz + -1xz + yz + -1yz Combine like terms: -2qxy + 2qxy = 0 px2 + py2 + 2qxy + -1xz + -1yz = 0 + xz + -1xz + yz + -1yz px2 + py2 + 2qxy + -1xz + -1yz = xz + -1xz + yz + -1yz Combine like terms: xz + -1xz = 0 px2 + py2 + 2qxy + -1xz + -1yz = 0 + yz + -1yz px2 + py2 + 2qxy + -1xz + -1yz = yz + -1yz Combine like terms: yz + -1yz = 0 px2 + py2 + 2qxy + -1xz + -1yz = 0 The solution to this equation could not be determined.
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