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Simplifying x2 + -7x + 27 = 5 Reorder the terms: 27 + -7x + x2 = 5 Solving 27 + -7x + x2 = 5 Solving for variable 'x'. Reorder the terms: 27 + -5 + -7x + x2 = 5 + -5 Combine like terms: 27 + -5 = 22 22 + -7x + x2 = 5 + -5 Combine like terms: 5 + -5 = 0 22 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -7x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -7x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7x + x2 = 0 + -22 -7x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -7x + x2 = -22 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -22 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -22 + 12.25 Combine like terms: -22 + 12.25 = -9.75 12.25 + -7x + x2 = -9.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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