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Simplifying (x + 5)(x + 5) = -7 Reorder the terms: (5 + x)(x + 5) = -7 Reorder the terms: (5 + x)(5 + x) = -7 Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) = -7 ((5 * 5 + x * 5) + x(5 + x)) = -7 ((25 + 5x) + x(5 + x)) = -7 (25 + 5x + (5 * x + x * x)) = -7 (25 + 5x + (5x + x2)) = -7 Combine like terms: 5x + 5x = 10x (25 + 10x + x2) = -7 Solving 25 + 10x + x2 = -7 Solving for variable 'x'. Reorder the terms: 25 + 7 + 10x + x2 = -7 + 7 Combine like terms: 25 + 7 = 32 32 + 10x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 32 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 10x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 10x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 10x + x2 = 0 + -32 10x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 10x + x2 = -32 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 = -32 + 25 Reorder the terms: 25 + 10x + x2 = -32 + 25 Combine like terms: -32 + 25 = -7 25 + 10x + x2 = -7 Factor a perfect square on the left side: (x + 5)(x + 5) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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