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Simplifying (x + 6)(x + 6) + 9 = 0 Reorder the terms: (6 + x)(x + 6) + 9 = 0 Reorder the terms: (6 + x)(6 + x) + 9 = 0 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x)) + 9 = 0 ((6 * 6 + x * 6) + x(6 + x)) + 9 = 0 ((36 + 6x) + x(6 + x)) + 9 = 0 (36 + 6x + (6 * x + x * x)) + 9 = 0 (36 + 6x + (6x + x2)) + 9 = 0 Combine like terms: 6x + 6x = 12x (36 + 12x + x2) + 9 = 0 Reorder the terms: 36 + 9 + 12x + x2 = 0 Combine like terms: 36 + 9 = 45 45 + 12x + x2 = 0 Solving 45 + 12x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 12x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + 12x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 12x + x2 = 0 + -45 12x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 12x + x2 = -45 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -45 + 36 Reorder the terms: 36 + 12x + x2 = -45 + 36 Combine like terms: -45 + 36 = -9 36 + 12x + x2 = -9 Factor a perfect square on the left side: (x + 6)(x + 6) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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