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Simplifying 3x(y + 1) + 7z(y + 1) = 0 Reorder the terms: 3x(1 + y) + 7z(y + 1) = 0 (1 * 3x + y * 3x) + 7z(y + 1) = 0 (3x + 3xy) + 7z(y + 1) = 0 Reorder the terms: 3x + 3xy + 7z(1 + y) = 0 3x + 3xy + (1 * 7z + y * 7z) = 0 Reorder the terms: 3x + 3xy + (7yz + 7z) = 0 3x + 3xy + (7yz + 7z) = 0 Solving 3x + 3xy + 7yz + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7yz' to each side of the equation. 3x + 3xy + 7yz + -7yz + 7z = 0 + -7yz Combine like terms: 7yz + -7yz = 0 3x + 3xy + 0 + 7z = 0 + -7yz 3x + 3xy + 7z = 0 + -7yz Remove the zero: 3x + 3xy + 7z = -7yz Add '-7z' to each side of the equation. 3x + 3xy + 7z + -7z = -7yz + -7z Combine like terms: 7z + -7z = 0 3x + 3xy + 0 = -7yz + -7z 3x + 3xy = -7yz + -7z Reorder the terms: 3x + 3xy + 7yz + 7z = -7yz + 7yz + -7z + 7z Combine like terms: -7yz + 7yz = 0 3x + 3xy + 7yz + 7z = 0 + -7z + 7z 3x + 3xy + 7yz + 7z = -7z + 7z Combine like terms: -7z + 7z = 0 3x + 3xy + 7yz + 7z = 0 The solution to this equation could not be determined.
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