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Simplifying (2z + 7)(5x + 3) = 0 Reorder the terms: (7 + 2z)(5x + 3) = 0 Reorder the terms: (7 + 2z)(3 + 5x) = 0 Multiply (7 + 2z) * (3 + 5x) (7(3 + 5x) + 2z * (3 + 5x)) = 0 ((3 * 7 + 5x * 7) + 2z * (3 + 5x)) = 0 ((21 + 35x) + 2z * (3 + 5x)) = 0 (21 + 35x + (3 * 2z + 5x * 2z)) = 0 Reorder the terms: (21 + 35x + (10xz + 6z)) = 0 (21 + 35x + (10xz + 6z)) = 0 (21 + 35x + 10xz + 6z) = 0 Solving 21 + 35x + 10xz + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 35x + 10xz + -21 + 6z = 0 + -21 Reorder the terms: 21 + -21 + 35x + 10xz + 6z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 35x + 10xz + 6z = 0 + -21 35x + 10xz + 6z = 0 + -21 Combine like terms: 0 + -21 = -21 35x + 10xz + 6z = -21 Add '-6z' to each side of the equation. 35x + 10xz + 6z + -6z = -21 + -6z Combine like terms: 6z + -6z = 0 35x + 10xz + 0 = -21 + -6z 35x + 10xz = -21 + -6z Reorder the terms: 21 + 35x + 10xz + 6z = -21 + -6z + 21 + 6z Reorder the terms: 21 + 35x + 10xz + 6z = -21 + 21 + -6z + 6z Combine like terms: -21 + 21 = 0 21 + 35x + 10xz + 6z = 0 + -6z + 6z 21 + 35x + 10xz + 6z = -6z + 6z Combine like terms: -6z + 6z = 0 21 + 35x + 10xz + 6z = 0 The solution to this equation could not be determined.
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