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Simplifying (3x + 2)(3x + 2) = (9x + 2)(x + 3) Reorder the terms: (2 + 3x)(3x + 2) = (9x + 2)(x + 3) Reorder the terms: (2 + 3x)(2 + 3x) = (9x + 2)(x + 3) Multiply (2 + 3x) * (2 + 3x) (2(2 + 3x) + 3x * (2 + 3x)) = (9x + 2)(x + 3) ((2 * 2 + 3x * 2) + 3x * (2 + 3x)) = (9x + 2)(x + 3) ((4 + 6x) + 3x * (2 + 3x)) = (9x + 2)(x + 3) (4 + 6x + (2 * 3x + 3x * 3x)) = (9x + 2)(x + 3) (4 + 6x + (6x + 9x2)) = (9x + 2)(x + 3) Combine like terms: 6x + 6x = 12x (4 + 12x + 9x2) = (9x + 2)(x + 3) Reorder the terms: 4 + 12x + 9x2 = (2 + 9x)(x + 3) Reorder the terms: 4 + 12x + 9x2 = (2 + 9x)(3 + x) Multiply (2 + 9x) * (3 + x) 4 + 12x + 9x2 = (2(3 + x) + 9x * (3 + x)) 4 + 12x + 9x2 = ((3 * 2 + x * 2) + 9x * (3 + x)) 4 + 12x + 9x2 = ((6 + 2x) + 9x * (3 + x)) 4 + 12x + 9x2 = (6 + 2x + (3 * 9x + x * 9x)) 4 + 12x + 9x2 = (6 + 2x + (27x + 9x2)) Combine like terms: 2x + 27x = 29x 4 + 12x + 9x2 = (6 + 29x + 9x2) Add '-9x2' to each side of the equation. 4 + 12x + 9x2 + -9x2 = 6 + 29x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + 12x + 0 = 6 + 29x + 9x2 + -9x2 4 + 12x = 6 + 29x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + 12x = 6 + 29x + 0 4 + 12x = 6 + 29x Solving 4 + 12x = 6 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 4 + 12x + -29x = 6 + 29x + -29x Combine like terms: 12x + -29x = -17x 4 + -17x = 6 + 29x + -29x Combine like terms: 29x + -29x = 0 4 + -17x = 6 + 0 4 + -17x = 6 Add '-4' to each side of the equation. 4 + -4 + -17x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -17x = 6 + -4 -17x = 6 + -4 Combine like terms: 6 + -4 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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