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Simplifying (3x + 2)(2z + 7) = 0 Reorder the terms: (2 + 3x)(2z + 7) = 0 Reorder the terms: (2 + 3x)(7 + 2z) = 0 Multiply (2 + 3x) * (7 + 2z) (2(7 + 2z) + 3x * (7 + 2z)) = 0 ((7 * 2 + 2z * 2) + 3x * (7 + 2z)) = 0 ((14 + 4z) + 3x * (7 + 2z)) = 0 (14 + 4z + (7 * 3x + 2z * 3x)) = 0 (14 + 4z + (21x + 6xz)) = 0 Reorder the terms: (14 + 21x + 6xz + 4z) = 0 (14 + 21x + 6xz + 4z) = 0 Solving 14 + 21x + 6xz + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 21x + 6xz + -14 + 4z = 0 + -14 Reorder the terms: 14 + -14 + 21x + 6xz + 4z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21x + 6xz + 4z = 0 + -14 21x + 6xz + 4z = 0 + -14 Combine like terms: 0 + -14 = -14 21x + 6xz + 4z = -14 Add '-4z' to each side of the equation. 21x + 6xz + 4z + -4z = -14 + -4z Combine like terms: 4z + -4z = 0 21x + 6xz + 0 = -14 + -4z 21x + 6xz = -14 + -4z Reorder the terms: 14 + 21x + 6xz + 4z = -14 + -4z + 14 + 4z Reorder the terms: 14 + 21x + 6xz + 4z = -14 + 14 + -4z + 4z Combine like terms: -14 + 14 = 0 14 + 21x + 6xz + 4z = 0 + -4z + 4z 14 + 21x + 6xz + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 14 + 21x + 6xz + 4z = 0 The solution to this equation could not be determined.
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