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Simplifying (x + 4)(x + 5) = -14 Reorder the terms: (4 + x)(x + 5) = -14 Reorder the terms: (4 + x)(5 + x) = -14 Multiply (4 + x) * (5 + x) (4(5 + x) + x(5 + x)) = -14 ((5 * 4 + x * 4) + x(5 + x)) = -14 ((20 + 4x) + x(5 + x)) = -14 (20 + 4x + (5 * x + x * x)) = -14 (20 + 4x + (5x + x2)) = -14 Combine like terms: 4x + 5x = 9x (20 + 9x + x2) = -14 Solving 20 + 9x + x2 = -14 Solving for variable 'x'. Reorder the terms: 20 + 14 + 9x + x2 = -14 + 14 Combine like terms: 20 + 14 = 34 34 + 9x + x2 = -14 + 14 Combine like terms: -14 + 14 = 0 34 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 9x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 9x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 9x + x2 = 0 + -34 9x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 9x + x2 = -34 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -34 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -34 + 20.25 Combine like terms: -34 + 20.25 = -13.75 20.25 + 9x + x2 = -13.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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