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Simplifying 3(x + y) + z(x + y) = 0 (x * 3 + y * 3) + z(x + y) = 0 (3x + 3y) + z(x + y) = 0 3x + 3y + (x * z + y * z) = 0 3x + 3y + (xz + yz) = 0 Reorder the terms: 3x + xz + 3y + yz = 0 Solving 3x + xz + 3y + yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 3x + xz + 3y + -3y + yz = 0 + -3y Combine like terms: 3y + -3y = 0 3x + xz + 0 + yz = 0 + -3y 3x + xz + yz = 0 + -3y Remove the zero: 3x + xz + yz = -3y Add '-1yz' to each side of the equation. 3x + xz + yz + -1yz = -3y + -1yz Combine like terms: yz + -1yz = 0 3x + xz + 0 = -3y + -1yz 3x + xz = -3y + -1yz Reorder the terms: 3x + xz + 3y + yz = -3y + 3y + -1yz + yz Combine like terms: -3y + 3y = 0 3x + xz + 3y + yz = 0 + -1yz + yz 3x + xz + 3y + yz = -1yz + yz Combine like terms: -1yz + yz = 0 3x + xz + 3y + yz = 0 The solution to this equation could not be determined.
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