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Simplifying (3x + 4)(2x + 15) = (2x + 3)(3x + 20) Reorder the terms: (4 + 3x)(2x + 15) = (2x + 3)(3x + 20) Reorder the terms: (4 + 3x)(15 + 2x) = (2x + 3)(3x + 20) Multiply (4 + 3x) * (15 + 2x) (4(15 + 2x) + 3x * (15 + 2x)) = (2x + 3)(3x + 20) ((15 * 4 + 2x * 4) + 3x * (15 + 2x)) = (2x + 3)(3x + 20) ((60 + 8x) + 3x * (15 + 2x)) = (2x + 3)(3x + 20) (60 + 8x + (15 * 3x + 2x * 3x)) = (2x + 3)(3x + 20) (60 + 8x + (45x + 6x2)) = (2x + 3)(3x + 20) Combine like terms: 8x + 45x = 53x (60 + 53x + 6x2) = (2x + 3)(3x + 20) Reorder the terms: 60 + 53x + 6x2 = (3 + 2x)(3x + 20) Reorder the terms: 60 + 53x + 6x2 = (3 + 2x)(20 + 3x) Multiply (3 + 2x) * (20 + 3x) 60 + 53x + 6x2 = (3(20 + 3x) + 2x * (20 + 3x)) 60 + 53x + 6x2 = ((20 * 3 + 3x * 3) + 2x * (20 + 3x)) 60 + 53x + 6x2 = ((60 + 9x) + 2x * (20 + 3x)) 60 + 53x + 6x2 = (60 + 9x + (20 * 2x + 3x * 2x)) 60 + 53x + 6x2 = (60 + 9x + (40x + 6x2)) Combine like terms: 9x + 40x = 49x 60 + 53x + 6x2 = (60 + 49x + 6x2) Add '-60' to each side of the equation. 60 + 53x + -60 + 6x2 = 60 + 49x + -60 + 6x2 Reorder the terms: 60 + -60 + 53x + 6x2 = 60 + 49x + -60 + 6x2 Combine like terms: 60 + -60 = 0 0 + 53x + 6x2 = 60 + 49x + -60 + 6x2 53x + 6x2 = 60 + 49x + -60 + 6x2 Reorder the terms: 53x + 6x2 = 60 + -60 + 49x + 6x2 Combine like terms: 60 + -60 = 0 53x + 6x2 = 0 + 49x + 6x2 53x + 6x2 = 49x + 6x2 Add '-6x2' to each side of the equation. 53x + 6x2 + -6x2 = 49x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 53x + 0 = 49x + 6x2 + -6x2 53x = 49x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 53x = 49x + 0 53x = 49x Solving 53x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 53x + -49x = 49x + -49x Combine like terms: 53x + -49x = 4x 4x = 49x + -49x Combine like terms: 49x + -49x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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