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Simplifying x2 + 9x + 72 = 17 Reorder the terms: 72 + 9x + x2 = 17 Solving 72 + 9x + x2 = 17 Solving for variable 'x'. Reorder the terms: 72 + -17 + 9x + x2 = 17 + -17 Combine like terms: 72 + -17 = 55 55 + 9x + x2 = 17 + -17 Combine like terms: 17 + -17 = 0 55 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + 9x + -55 + x2 = 0 + -55 Reorder the terms: 55 + -55 + 9x + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 9x + x2 = 0 + -55 9x + x2 = 0 + -55 Combine like terms: 0 + -55 = -55 9x + x2 = -55 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 = -55 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -55 + 20.25 Combine like terms: -55 + 20.25 = -34.75 20.25 + 9x + x2 = -34.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -34.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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