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Simplifying (x + 3)(x + 3) = -28 Reorder the terms: (3 + x)(x + 3) = -28 Reorder the terms: (3 + x)(3 + x) = -28 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = -28 ((3 * 3 + x * 3) + x(3 + x)) = -28 ((9 + 3x) + x(3 + x)) = -28 (9 + 3x + (3 * x + x * x)) = -28 (9 + 3x + (3x + x2)) = -28 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = -28 Solving 9 + 6x + x2 = -28 Solving for variable 'x'. Reorder the terms: 9 + 28 + 6x + x2 = -28 + 28 Combine like terms: 9 + 28 = 37 37 + 6x + x2 = -28 + 28 Combine like terms: -28 + 28 = 0 37 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + 6x + -37 + x2 = 0 + -37 Reorder the terms: 37 + -37 + 6x + x2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 6x + x2 = 0 + -37 6x + x2 = 0 + -37 Combine like terms: 0 + -37 = -37 6x + x2 = -37 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -37 + 9 Reorder the terms: 9 + 6x + x2 = -37 + 9 Combine like terms: -37 + 9 = -28 9 + 6x + x2 = -28 Factor a perfect square on the left side: (x + 3)(x + 3) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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