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Simplifying 3x(y + 1) + 4z(y + 1) = 0 Reorder the terms: 3x(1 + y) + 4z(y + 1) = 0 (1 * 3x + y * 3x) + 4z(y + 1) = 0 (3x + 3xy) + 4z(y + 1) = 0 Reorder the terms: 3x + 3xy + 4z(1 + y) = 0 3x + 3xy + (1 * 4z + y * 4z) = 0 Reorder the terms: 3x + 3xy + (4yz + 4z) = 0 3x + 3xy + (4yz + 4z) = 0 Solving 3x + 3xy + 4yz + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4yz' to each side of the equation. 3x + 3xy + 4yz + -4yz + 4z = 0 + -4yz Combine like terms: 4yz + -4yz = 0 3x + 3xy + 0 + 4z = 0 + -4yz 3x + 3xy + 4z = 0 + -4yz Remove the zero: 3x + 3xy + 4z = -4yz Add '-4z' to each side of the equation. 3x + 3xy + 4z + -4z = -4yz + -4z Combine like terms: 4z + -4z = 0 3x + 3xy + 0 = -4yz + -4z 3x + 3xy = -4yz + -4z Reorder the terms: 3x + 3xy + 4yz + 4z = -4yz + 4yz + -4z + 4z Combine like terms: -4yz + 4yz = 0 3x + 3xy + 4yz + 4z = 0 + -4z + 4z 3x + 3xy + 4yz + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 3x + 3xy + 4yz + 4z = 0 The solution to this equation could not be determined.
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