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Simplifying z(x + y) + 4(x + y) = 0 (x * z + y * z) + 4(x + y) = 0 (xz + yz) + 4(x + y) = 0 xz + yz + (x * 4 + y * 4) = 0 xz + yz + (4x + 4y) = 0 Reorder the terms: 4x + xz + 4y + yz = 0 Solving 4x + xz + 4y + yz = 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 + xz + 4y + -4y + yz = 0 + -4y Combine like terms: 4y + -4y = 0 4x + xz + 0 + yz = 0 + -4y 4x + xz + yz = 0 + -4y Remove the zero: 4x + xz + yz = -4y Add '-1yz' to each side of the equation. 4x + xz + yz + -1yz = -4y + -1yz Combine like terms: yz + -1yz = 0 4x + xz + 0 = -4y + -1yz 4x + xz = -4y + -1yz Reorder the terms: 4x + xz + 4y + yz = -4y + 4y + -1yz + yz Combine like terms: -4y + 4y = 0 4x + xz + 4y + yz = 0 + -1yz + yz 4x + xz + 4y + yz = -1yz + yz Combine like terms: -1yz + yz = 0 4x + xz + 4y + yz = 0 The solution to this equation could not be determined.
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