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Simplifying (7x + 2)(5z + 4) = 0 Reorder the terms: (2 + 7x)(5z + 4) = 0 Reorder the terms: (2 + 7x)(4 + 5z) = 0 Multiply (2 + 7x) * (4 + 5z) (2(4 + 5z) + 7x * (4 + 5z)) = 0 ((4 * 2 + 5z * 2) + 7x * (4 + 5z)) = 0 ((8 + 10z) + 7x * (4 + 5z)) = 0 (8 + 10z + (4 * 7x + 5z * 7x)) = 0 (8 + 10z + (28x + 35xz)) = 0 Reorder the terms: (8 + 28x + 35xz + 10z) = 0 (8 + 28x + 35xz + 10z) = 0 Solving 8 + 28x + 35xz + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 28x + 35xz + -8 + 10z = 0 + -8 Reorder the terms: 8 + -8 + 28x + 35xz + 10z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 28x + 35xz + 10z = 0 + -8 28x + 35xz + 10z = 0 + -8 Combine like terms: 0 + -8 = -8 28x + 35xz + 10z = -8 Add '-10z' to each side of the equation. 28x + 35xz + 10z + -10z = -8 + -10z Combine like terms: 10z + -10z = 0 28x + 35xz + 0 = -8 + -10z 28x + 35xz = -8 + -10z Reorder the terms: 8 + 28x + 35xz + 10z = -8 + -10z + 8 + 10z Reorder the terms: 8 + 28x + 35xz + 10z = -8 + 8 + -10z + 10z Combine like terms: -8 + 8 = 0 8 + 28x + 35xz + 10z = 0 + -10z + 10z 8 + 28x + 35xz + 10z = -10z + 10z Combine like terms: -10z + 10z = 0 8 + 28x + 35xz + 10z = 0 The solution to this equation could not be determined.
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