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Simplifying (x + -1y)(z + -1y) = axy Reorder the terms: (x + -1y)(-1y + z) = axy Multiply (x + -1y) * (-1y + z) (x(-1y + z) + -1y * (-1y + z)) = axy ((-1y * x + z * x) + -1y * (-1y + z)) = axy ((-1xy + xz) + -1y * (-1y + z)) = axy (-1xy + xz + (-1y * -1y + z * -1y)) = axy Reorder the terms: (-1xy + xz + (-1yz + 1y2)) = axy (-1xy + xz + (-1yz + 1y2)) = axy (-1xy + xz + -1yz + 1y2) = axy Solving -1xy + xz + -1yz + 1y2 = axy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1axy' to each side of the equation. -1xy + xz + -1yz + -1axy + 1y2 = axy + -1axy Reorder the terms: -1axy + -1xy + xz + -1yz + 1y2 = axy + -1axy Combine like terms: axy + -1axy = 0 -1axy + -1xy + xz + -1yz + 1y2 = 0 Add 'yz' to each side of the equation. -1axy + -1xy + xz + -1yz + yz + 1y2 = 0 + yz Combine like terms: -1yz + yz = 0 -1axy + -1xy + xz + 0 + 1y2 = 0 + yz -1axy + -1xy + xz + 1y2 = 0 + yz Remove the zero: -1axy + -1xy + xz + 1y2 = yz Add '-1y2' to each side of the equation. -1axy + -1xy + xz + 1y2 + -1y2 = yz + -1y2 Combine like terms: 1y2 + -1y2 = 0 -1axy + -1xy + xz + 0 = yz + -1y2 -1axy + -1xy + xz = yz + -1y2 Reorder the terms: -1axy + -1xy + xz + -1yz + y2 = yz + -1yz + -1y2 + y2 Combine like terms: yz + -1yz = 0 -1axy + -1xy + xz + -1yz + y2 = 0 + -1y2 + y2 -1axy + -1xy + xz + -1yz + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -1axy + -1xy + xz + -1yz + y2 = 0 The solution to this equation could not be determined.
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