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Simplifying (x + 3)(x + 3) + 25 = 0 Reorder the terms: (3 + x)(x + 3) + 25 = 0 Reorder the terms: (3 + x)(3 + x) + 25 = 0 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) + 25 = 0 ((3 * 3 + x * 3) + x(3 + x)) + 25 = 0 ((9 + 3x) + x(3 + x)) + 25 = 0 (9 + 3x + (3 * x + x * x)) + 25 = 0 (9 + 3x + (3x + x2)) + 25 = 0 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) + 25 = 0 Reorder the terms: 9 + 25 + 6x + x2 = 0 Combine like terms: 9 + 25 = 34 34 + 6x + x2 = 0 Solving 34 + 6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 6x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 6x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 6x + x2 = 0 + -34 6x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 6x + x2 = -34 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 = -34 + 9 Reorder the terms: 9 + 6x + x2 = -34 + 9 Combine like terms: -34 + 9 = -25 9 + 6x + x2 = -25 Factor a perfect square on the left side: (x + 3)(x + 3) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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