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Simplifying (xy + -4)(-2y + z) = 0 Reorder the terms: (-4 + xy)(-2y + z) = 0 Multiply (-4 + xy) * (-2y + z) (-4(-2y + z) + xy(-2y + z)) = 0 ((-2y * -4 + z * -4) + xy(-2y + z)) = 0 ((8y + -4z) + xy(-2y + z)) = 0 (8y + -4z + (-2y * xy + z * xy)) = 0 Reorder the terms: (8y + -4z + (xyz + -2xy2)) = 0 (8y + -4z + (xyz + -2xy2)) = 0 Reorder the terms: (xyz + -2xy2 + 8y + -4z) = 0 (xyz + -2xy2 + 8y + -4z) = 0 Solving xyz + -2xy2 + 8y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. xyz + -2xy2 + 8y + -8y + -4z = 0 + -8y Combine like terms: 8y + -8y = 0 xyz + -2xy2 + 0 + -4z = 0 + -8y xyz + -2xy2 + -4z = 0 + -8y Remove the zero: xyz + -2xy2 + -4z = -8y Add '4z' to each side of the equation. xyz + -2xy2 + -4z + 4z = -8y + 4z Combine like terms: -4z + 4z = 0 xyz + -2xy2 + 0 = -8y + 4z xyz + -2xy2 = -8y + 4z Reorder the terms: xyz + -2xy2 + 8y + -4z = -8y + 8y + 4z + -4z Combine like terms: -8y + 8y = 0 xyz + -2xy2 + 8y + -4z = 0 + 4z + -4z xyz + -2xy2 + 8y + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 xyz + -2xy2 + 8y + -4z = 0 The solution to this equation could not be determined.
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