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Simplifying (2x + -1)(4z + 1) = 0 Reorder the terms: (-1 + 2x)(4z + 1) = 0 Reorder the terms: (-1 + 2x)(1 + 4z) = 0 Multiply (-1 + 2x) * (1 + 4z) (-1(1 + 4z) + 2x * (1 + 4z)) = 0 ((1 * -1 + 4z * -1) + 2x * (1 + 4z)) = 0 ((-1 + -4z) + 2x * (1 + 4z)) = 0 (-1 + -4z + (1 * 2x + 4z * 2x)) = 0 (-1 + -4z + (2x + 8xz)) = 0 Reorder the terms: (-1 + 2x + 8xz + -4z) = 0 (-1 + 2x + 8xz + -4z) = 0 Solving -1 + 2x + 8xz + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 8xz + 1 + -4z = 0 + 1 Reorder the terms: -1 + 1 + 2x + 8xz + -4z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 8xz + -4z = 0 + 1 2x + 8xz + -4z = 0 + 1 Combine like terms: 0 + 1 = 1 2x + 8xz + -4z = 1 Add '4z' to each side of the equation. 2x + 8xz + -4z + 4z = 1 + 4z Combine like terms: -4z + 4z = 0 2x + 8xz + 0 = 1 + 4z 2x + 8xz = 1 + 4z Reorder the terms: -1 + 2x + 8xz + -4z = 1 + 4z + -1 + -4z Reorder the terms: -1 + 2x + 8xz + -4z = 1 + -1 + 4z + -4z Combine like terms: 1 + -1 = 0 -1 + 2x + 8xz + -4z = 0 + 4z + -4z -1 + 2x + 8xz + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 -1 + 2x + 8xz + -4z = 0 The solution to this equation could not be determined.
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