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Simplifying (x + 5)(x + 5) + 49 = 0 Reorder the terms: (5 + x)(x + 5) + 49 = 0 Reorder the terms: (5 + x)(5 + x) + 49 = 0 Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) + 49 = 0 ((5 * 5 + x * 5) + x(5 + x)) + 49 = 0 ((25 + 5x) + x(5 + x)) + 49 = 0 (25 + 5x + (5 * x + x * x)) + 49 = 0 (25 + 5x + (5x + x2)) + 49 = 0 Combine like terms: 5x + 5x = 10x (25 + 10x + x2) + 49 = 0 Reorder the terms: 25 + 49 + 10x + x2 = 0 Combine like terms: 25 + 49 = 74 74 + 10x + x2 = 0 Solving 74 + 10x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 10x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 10x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 10x + x2 = 0 + -74 10x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 10x + x2 = -74 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 = -74 + 25 Reorder the terms: 25 + 10x + x2 = -74 + 25 Combine like terms: -74 + 25 = -49 25 + 10x + x2 = -49 Factor a perfect square on the left side: (x + 5)(x + 5) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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