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Simplifying (x + y + -1z)(y + 4) = 0 Reorder the terms: (x + y + -1z)(4 + y) = 0 Multiply (x + y + -1z) * (4 + y) (x(4 + y) + y(4 + y) + -1z * (4 + y)) = 0 ((4 * x + y * x) + y(4 + y) + -1z * (4 + y)) = 0 ((4x + xy) + y(4 + y) + -1z * (4 + y)) = 0 (4x + xy + (4 * y + y * y) + -1z * (4 + y)) = 0 (4x + xy + (4y + y2) + -1z * (4 + y)) = 0 (4x + xy + 4y + y2 + (4 * -1z + y * -1z)) = 0 Reorder the terms: (4x + xy + 4y + y2 + (-1yz + -4z)) = 0 (4x + xy + 4y + y2 + (-1yz + -4z)) = 0 Reorder the terms: (4x + xy + 4y + -1yz + y2 + -4z) = 0 (4x + xy + 4y + -1yz + y2 + -4z) = 0 Solving 4x + xy + 4y + -1yz + y2 + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4x + xy + 4y + -1yz + y2 + -4y + -4z = 0 + -4y Reorder the terms: 4x + xy + 4y + -4y + -1yz + y2 + -4z = 0 + -4y Combine like terms: 4y + -4y = 0 4x + xy + 0 + -1yz + y2 + -4z = 0 + -4y 4x + xy + -1yz + y2 + -4z = 0 + -4y Remove the zero: 4x + xy + -1yz + y2 + -4z = -4y Add 'yz' to each side of the equation. 4x + xy + -1yz + y2 + yz + -4z = -4y + yz Reorder the terms: 4x + xy + -1yz + yz + y2 + -4z = -4y + yz Combine like terms: -1yz + yz = 0 4x + xy + 0 + y2 + -4z = -4y + yz 4x + xy + y2 + -4z = -4y + yz Add '-1y2' to each side of the equation. 4x + xy + y2 + -1y2 + -4z = -4y + yz + -1y2 Combine like terms: y2 + -1y2 = 0 4x + xy + 0 + -4z = -4y + yz + -1y2 4x + xy + -4z = -4y + yz + -1y2 Add '4z' to each side of the equation. 4x + xy + -4z + 4z = -4y + yz + -1y2 + 4z Combine like terms: -4z + 4z = 0 4x + xy + 0 = -4y + yz + -1y2 + 4z 4x + xy = -4y + yz + -1y2 + 4z Reorder the terms: 4x + xy + 4y + -1yz + y2 + -4z = -4y + 4y + yz + -1yz + -1y2 + y2 + 4z + -4z Combine like terms: -4y + 4y = 0 4x + xy + 4y + -1yz + y2 + -4z = 0 + yz + -1yz + -1y2 + y2 + 4z + -4z 4x + xy + 4y + -1yz + y2 + -4z = yz + -1yz + -1y2 + y2 + 4z + -4z Combine like terms: yz + -1yz = 0 4x + xy + 4y + -1yz + y2 + -4z = 0 + -1y2 + y2 + 4z + -4z 4x + xy + 4y + -1yz + y2 + -4z = -1y2 + y2 + 4z + -4z Combine like terms: -1y2 + y2 = 0 4x + xy + 4y + -1yz + y2 + -4z = 0 + 4z + -4z 4x + xy + 4y + -1yz + y2 + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 4x + xy + 4y + -1yz + y2 + -4z = 0 The solution to this equation could not be determined.
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