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Simplifying (4x + 5)(-7X + 4) = 0 Reorder the terms: (5 + 4x)(-7X + 4) = 0 Reorder the terms: (5 + 4x)(4 + -7X) = 0 Multiply (5 + 4x) * (4 + -7X) (5(4 + -7X) + 4x * (4 + -7X)) = 0 ((4 * 5 + -7X * 5) + 4x * (4 + -7X)) = 0 ((20 + -35X) + 4x * (4 + -7X)) = 0 (20 + -35X + (4 * 4x + -7X * 4x)) = 0 (20 + -35X + (16x + -28xX)) = 0 (20 + -35X + 16x + -28xX) = 0 Solving 20 + -35X + 16x + -28xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -35X + 16x + -20 + -28xX = 0 + -20 Reorder the terms: 20 + -20 + -35X + 16x + -28xX = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -35X + 16x + -28xX = 0 + -20 -35X + 16x + -28xX = 0 + -20 Combine like terms: 0 + -20 = -20 -35X + 16x + -28xX = -20 Add '-16x' to each side of the equation. -35X + 16x + -16x + -28xX = -20 + -16x Combine like terms: 16x + -16x = 0 -35X + 0 + -28xX = -20 + -16x -35X + -28xX = -20 + -16x Reorder the terms: 20 + -35X + 16x + -28xX = -20 + -16x + 20 + 16x Reorder the terms: 20 + -35X + 16x + -28xX = -20 + 20 + -16x + 16x Combine like terms: -20 + 20 = 0 20 + -35X + 16x + -28xX = 0 + -16x + 16x 20 + -35X + 16x + -28xX = -16x + 16x Combine like terms: -16x + 16x = 0 20 + -35X + 16x + -28xX = 0 The solution to this equation could not be determined.
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