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Simplifying (5z + 3)(7 + w) = 0 Reorder the terms: (3 + 5z)(7 + w) = 0 Multiply (3 + 5z) * (7 + w) (3(7 + w) + 5z * (7 + w)) = 0 ((7 * 3 + w * 3) + 5z * (7 + w)) = 0 ((21 + 3w) + 5z * (7 + w)) = 0 (21 + 3w + (7 * 5z + w * 5z)) = 0 Reorder the terms: (21 + 3w + (5wz + 35z)) = 0 (21 + 3w + (5wz + 35z)) = 0 (21 + 3w + 5wz + 35z) = 0 Solving 21 + 3w + 5wz + 35z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3w + 5wz + -21 + 35z = 0 + -21 Reorder the terms: 21 + -21 + 3w + 5wz + 35z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3w + 5wz + 35z = 0 + -21 3w + 5wz + 35z = 0 + -21 Combine like terms: 0 + -21 = -21 3w + 5wz + 35z = -21 Add '-35z' to each side of the equation. 3w + 5wz + 35z + -35z = -21 + -35z Combine like terms: 35z + -35z = 0 3w + 5wz + 0 = -21 + -35z 3w + 5wz = -21 + -35z Reorder the terms: 21 + 3w + 5wz + 35z = -21 + -35z + 21 + 35z Reorder the terms: 21 + 3w + 5wz + 35z = -21 + 21 + -35z + 35z Combine like terms: -21 + 21 = 0 21 + 3w + 5wz + 35z = 0 + -35z + 35z 21 + 3w + 5wz + 35z = -35z + 35z Combine like terms: -35z + 35z = 0 21 + 3w + 5wz + 35z = 0 The solution to this equation could not be determined.
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