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Simplifying (4x + 3)(4x + 3) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) Reorder the terms: (3 + 4x)(4x + 3) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) Reorder the terms: (3 + 4x)(3 + 4x) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) Multiply (3 + 4x) * (3 + 4x) (3(3 + 4x) + 4x * (3 + 4x)) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) ((3 * 3 + 4x * 3) + 4x * (3 + 4x)) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) ((9 + 12x) + 4x * (3 + 4x)) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) (9 + 12x + (3 * 4x + 4x * 4x)) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) (9 + 12x + (12x + 16x2)) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) Combine like terms: 12x + 12x = 24x (9 + 24x + 16x2) = 25(1 + x)(1 + x) + -1(4 + 3x)(4 + 3x) Multiply (1 + x) * (1 + x) 9 + 24x + 16x2 = 25(1(1 + x) + x(1 + x)) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = 25((1 * 1 + x * 1) + x(1 + x)) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = 25((1 + 1x) + x(1 + x)) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = 25(1 + 1x + (1 * x + x * x)) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = 25(1 + 1x + (1x + x2)) + -1(4 + 3x)(4 + 3x) Combine like terms: 1x + 1x = 2x 9 + 24x + 16x2 = 25(1 + 2x + x2) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = (1 * 25 + 2x * 25 + x2 * 25) + -1(4 + 3x)(4 + 3x) 9 + 24x + 16x2 = (25 + 50x + 25x2) + -1(4 + 3x)(4 + 3x) Multiply (4 + 3x) * (4 + 3x) 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1(4(4 + 3x) + 3x * (4 + 3x)) 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1((4 * 4 + 3x * 4) + 3x * (4 + 3x)) 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1((16 + 12x) + 3x * (4 + 3x)) 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1(16 + 12x + (4 * 3x + 3x * 3x)) 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1(16 + 12x + (12x + 9x2)) Combine like terms: 12x + 12x = 24x 9 + 24x + 16x2 = 25 + 50x + 25x2 + -1(16 + 24x + 9x2) 9 + 24x + 16x2 = 25 + 50x + 25x2 + (16 * -1 + 24x * -1 + 9x2 * -1) 9 + 24x + 16x2 = 25 + 50x + 25x2 + (-16 + -24x + -9x2) Reorder the terms: 9 + 24x + 16x2 = 25 + -16 + 50x + -24x + 25x2 + -9x2 Combine like terms: 25 + -16 = 9 9 + 24x + 16x2 = 9 + 50x + -24x + 25x2 + -9x2 Combine like terms: 50x + -24x = 26x 9 + 24x + 16x2 = 9 + 26x + 25x2 + -9x2 Combine like terms: 25x2 + -9x2 = 16x2 9 + 24x + 16x2 = 9 + 26x + 16x2 Add '-9' to each side of the equation. 9 + 24x + -9 + 16x2 = 9 + 26x + -9 + 16x2 Reorder the terms: 9 + -9 + 24x + 16x2 = 9 + 26x + -9 + 16x2 Combine like terms: 9 + -9 = 0 0 + 24x + 16x2 = 9 + 26x + -9 + 16x2 24x + 16x2 = 9 + 26x + -9 + 16x2 Reorder the terms: 24x + 16x2 = 9 + -9 + 26x + 16x2 Combine like terms: 9 + -9 = 0 24x + 16x2 = 0 + 26x + 16x2 24x + 16x2 = 26x + 16x2 Add '-16x2' to each side of the equation. 24x + 16x2 + -16x2 = 26x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 24x + 0 = 26x + 16x2 + -16x2 24x = 26x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 24x = 26x + 0 24x = 26x Solving 24x = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 24x + -26x = 26x + -26x Combine like terms: 24x + -26x = -2x -2x = 26x + -26x Combine like terms: 26x + -26x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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