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Simplifying x2 + -11x + 36.5 = 0 Reorder the terms: 36.5 + -11x + x2 = 0 Solving 36.5 + -11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-36.5' to each side of the equation. 36.5 + -11x + -36.5 + x2 = 0 + -36.5 Reorder the terms: 36.5 + -36.5 + -11x + x2 = 0 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + -11x + x2 = 0 + -36.5 -11x + x2 = 0 + -36.5 Combine like terms: 0 + -36.5 = -36.5 -11x + x2 = -36.5 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -36.5 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -36.5 + 30.25 Combine like terms: -36.5 + 30.25 = -6.25 30.25 + -11x + x2 = -6.25 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -6.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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