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Simplifying (x + 5)(x + 5) = -16 Reorder the terms: (5 + x)(x + 5) = -16 Reorder the terms: (5 + x)(5 + x) = -16 Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) = -16 ((5 * 5 + x * 5) + x(5 + x)) = -16 ((25 + 5x) + x(5 + x)) = -16 (25 + 5x + (5 * x + x * x)) = -16 (25 + 5x + (5x + x2)) = -16 Combine like terms: 5x + 5x = 10x (25 + 10x + x2) = -16 Solving 25 + 10x + x2 = -16 Solving for variable 'x'. Reorder the terms: 25 + 16 + 10x + x2 = -16 + 16 Combine like terms: 25 + 16 = 41 41 + 10x + x2 = -16 + 16 Combine like terms: -16 + 16 = 0 41 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 10x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + 10x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 10x + x2 = 0 + -41 10x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 10x + x2 = -41 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -41 + 25 Reorder the terms: 25 + 10x + x2 = -41 + 25 Combine like terms: -41 + 25 = -16 25 + 10x + x2 = -16 Factor a perfect square on the left side: (x + 5)(x + 5) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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