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Simplifying (x + 3y + -4z)(x + -2y + z) = 0 Multiply (x + 3y + -4z) * (x + -2y + z) (x(x + -2y + z) + 3y * (x + -2y + z) + -4z * (x + -2y + z)) = 0 ((x * x + -2y * x + z * x) + 3y * (x + -2y + z) + -4z * (x + -2y + z)) = 0 Reorder the terms: ((-2xy + xz + x2) + 3y * (x + -2y + z) + -4z * (x + -2y + z)) = 0 ((-2xy + xz + x2) + 3y * (x + -2y + z) + -4z * (x + -2y + z)) = 0 (-2xy + xz + x2 + (x * 3y + -2y * 3y + z * 3y) + -4z * (x + -2y + z)) = 0 Reorder the terms: (-2xy + xz + x2 + (3xy + 3yz + -6y2) + -4z * (x + -2y + z)) = 0 (-2xy + xz + x2 + (3xy + 3yz + -6y2) + -4z * (x + -2y + z)) = 0 (-2xy + xz + x2 + 3xy + 3yz + -6y2 + (x * -4z + -2y * -4z + z * -4z)) = 0 (-2xy + xz + x2 + 3xy + 3yz + -6y2 + (-4xz + 8yz + -4z2)) = 0 Reorder the terms: (-2xy + 3xy + xz + -4xz + x2 + 3yz + 8yz + -6y2 + -4z2) = 0 Combine like terms: -2xy + 3xy = 1xy (1xy + xz + -4xz + x2 + 3yz + 8yz + -6y2 + -4z2) = 0 Combine like terms: xz + -4xz = -3xz (1xy + -3xz + x2 + 3yz + 8yz + -6y2 + -4z2) = 0 Combine like terms: 3yz + 8yz = 11yz (1xy + -3xz + x2 + 11yz + -6y2 + -4z2) = 0 Solving 1xy + -3xz + x2 + 11yz + -6y2 + -4z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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