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Simplifying x2 + 9x + 4 = -45 Reorder the terms: 4 + 9x + x2 = -45 Solving 4 + 9x + x2 = -45 Solving for variable 'x'. Reorder the terms: 4 + 45 + 9x + x2 = -45 + 45 Combine like terms: 4 + 45 = 49 49 + 9x + x2 = -45 + 45 Combine like terms: -45 + 45 = 0 49 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 9x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + 9x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 9x + x2 = 0 + -49 9x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 9x + x2 = -49 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 = -49 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -49 + 20.25 Combine like terms: -49 + 20.25 = -28.75 20.25 + 9x + x2 = -28.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -28.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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