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Simplifying (5y + x)(6y + -7z) = 0 Reorder the terms: (x + 5y)(6y + -7z) = 0 Multiply (x + 5y) * (6y + -7z) (x(6y + -7z) + 5y * (6y + -7z)) = 0 ((6y * x + -7z * x) + 5y * (6y + -7z)) = 0 ((6xy + -7xz) + 5y * (6y + -7z)) = 0 (6xy + -7xz + (6y * 5y + -7z * 5y)) = 0 Reorder the terms: (6xy + -7xz + (-35yz + 30y2)) = 0 (6xy + -7xz + (-35yz + 30y2)) = 0 (6xy + -7xz + -35yz + 30y2) = 0 Solving 6xy + -7xz + -35yz + 30y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35yz' to each side of the equation. 6xy + -7xz + -35yz + 35yz + 30y2 = 0 + 35yz Combine like terms: -35yz + 35yz = 0 6xy + -7xz + 0 + 30y2 = 0 + 35yz 6xy + -7xz + 30y2 = 0 + 35yz Remove the zero: 6xy + -7xz + 30y2 = 35yz Add '-30y2' to each side of the equation. 6xy + -7xz + 30y2 + -30y2 = 35yz + -30y2 Combine like terms: 30y2 + -30y2 = 0 6xy + -7xz + 0 = 35yz + -30y2 6xy + -7xz = 35yz + -30y2 Reorder the terms: 6xy + -7xz + -35yz + 30y2 = 35yz + -35yz + -30y2 + 30y2 Combine like terms: 35yz + -35yz = 0 6xy + -7xz + -35yz + 30y2 = 0 + -30y2 + 30y2 6xy + -7xz + -35yz + 30y2 = -30y2 + 30y2 Combine like terms: -30y2 + 30y2 = 0 6xy + -7xz + -35yz + 30y2 = 0 The solution to this equation could not be determined.
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