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Simplifying (x + -3y + z)(5x + 5y + z) = 0 Multiply (x + -3y + z) * (5x + 5y + z) (x(5x + 5y + z) + -3y * (5x + 5y + z) + z(5x + 5y + z)) = 0 ((5x * x + 5y * x + z * x) + -3y * (5x + 5y + z) + z(5x + 5y + z)) = 0 Reorder the terms: ((5xy + xz + 5x2) + -3y * (5x + 5y + z) + z(5x + 5y + z)) = 0 ((5xy + xz + 5x2) + -3y * (5x + 5y + z) + z(5x + 5y + z)) = 0 (5xy + xz + 5x2 + (5x * -3y + 5y * -3y + z * -3y) + z(5x + 5y + z)) = 0 Reorder the terms: (5xy + xz + 5x2 + (-15xy + -3yz + -15y2) + z(5x + 5y + z)) = 0 (5xy + xz + 5x2 + (-15xy + -3yz + -15y2) + z(5x + 5y + z)) = 0 (5xy + xz + 5x2 + -15xy + -3yz + -15y2 + (5x * z + 5y * z + z * z)) = 0 (5xy + xz + 5x2 + -15xy + -3yz + -15y2 + (5xz + 5yz + z2)) = 0 Reorder the terms: (5xy + -15xy + xz + 5xz + 5x2 + -3yz + 5yz + -15y2 + z2) = 0 Combine like terms: 5xy + -15xy = -10xy (-10xy + xz + 5xz + 5x2 + -3yz + 5yz + -15y2 + z2) = 0 Combine like terms: xz + 5xz = 6xz (-10xy + 6xz + 5x2 + -3yz + 5yz + -15y2 + z2) = 0 Combine like terms: -3yz + 5yz = 2yz (-10xy + 6xz + 5x2 + 2yz + -15y2 + z2) = 0 Solving -10xy + 6xz + 5x2 + 2yz + -15y2 + z2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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