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Simplifying (7x + 9)(5x2 + 4X + 4) = 0 Reorder the terms: (9 + 7x)(5x2 + 4X + 4) = 0 Reorder the terms: (9 + 7x)(4 + 4X + 5x2) = 0 Multiply (9 + 7x) * (4 + 4X + 5x2) (9(4 + 4X + 5x2) + 7x * (4 + 4X + 5x2)) = 0 ((4 * 9 + 4X * 9 + 5x2 * 9) + 7x * (4 + 4X + 5x2)) = 0 ((36 + 36X + 45x2) + 7x * (4 + 4X + 5x2)) = 0 (36 + 36X + 45x2 + (4 * 7x + 4X * 7x + 5x2 * 7x)) = 0 (36 + 36X + 45x2 + (28x + 28xX + 35x3)) = 0 Reorder the terms: (36 + 36X + 28x + 28xX + 45x2 + 35x3) = 0 (36 + 36X + 28x + 28xX + 45x2 + 35x3) = 0 Solving 36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 36X + 28x + 28xX + 45x2 + -36 + 35x3 = 0 + -36 Reorder the terms: 36 + -36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -36 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -36 Combine like terms: 0 + -36 = -36 36X + 28x + 28xX + 45x2 + 35x3 = -36 Add '-28x' to each side of the equation. 36X + 28x + 28xX + 45x2 + -28x + 35x3 = -36 + -28x Reorder the terms: 36X + 28x + -28x + 28xX + 45x2 + 35x3 = -36 + -28x Combine like terms: 28x + -28x = 0 36X + 0 + 28xX + 45x2 + 35x3 = -36 + -28x 36X + 28xX + 45x2 + 35x3 = -36 + -28x Add '-45x2' to each side of the equation. 36X + 28xX + 45x2 + -45x2 + 35x3 = -36 + -28x + -45x2 Combine like terms: 45x2 + -45x2 = 0 36X + 28xX + 0 + 35x3 = -36 + -28x + -45x2 36X + 28xX + 35x3 = -36 + -28x + -45x2 Add '-35x3' to each side of the equation. 36X + 28xX + 35x3 + -35x3 = -36 + -28x + -45x2 + -35x3 Combine like terms: 35x3 + -35x3 = 0 36X + 28xX + 0 = -36 + -28x + -45x2 + -35x3 36X + 28xX = -36 + -28x + -45x2 + -35x3 Reorder the terms: 36 + 36X + 28x + 28xX + 45x2 + 35x3 = -36 + -28x + -45x2 + -35x3 + 36 + 28x + 45x2 + 35x3 Reorder the terms: 36 + 36X + 28x + 28xX + 45x2 + 35x3 = -36 + 36 + -28x + 28x + -45x2 + 45x2 + -35x3 + 35x3 Combine like terms: -36 + 36 = 0 36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -28x + 28x + -45x2 + 45x2 + -35x3 + 35x3 36 + 36X + 28x + 28xX + 45x2 + 35x3 = -28x + 28x + -45x2 + 45x2 + -35x3 + 35x3 Combine like terms: -28x + 28x = 0 36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -45x2 + 45x2 + -35x3 + 35x3 36 + 36X + 28x + 28xX + 45x2 + 35x3 = -45x2 + 45x2 + -35x3 + 35x3 Combine like terms: -45x2 + 45x2 = 0 36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 + -35x3 + 35x3 36 + 36X + 28x + 28xX + 45x2 + 35x3 = -35x3 + 35x3 Combine like terms: -35x3 + 35x3 = 0 36 + 36X + 28x + 28xX + 45x2 + 35x3 = 0 The solution to this equation could not be determined.
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