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Simplifying f2 + 13f + 56 = 0 Reorder the terms: 56 + 13f + f2 = 0 Solving 56 + 13f + f2 = 0 Solving for variable 'f'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 13f + -56 + f2 = 0 + -56 Reorder the terms: 56 + -56 + 13f + f2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 13f + f2 = 0 + -56 13f + f2 = 0 + -56 Combine like terms: 0 + -56 = -56 13f + f2 = -56 The f term is 13f. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13f + 42.25 + f2 = -56 + 42.25 Reorder the terms: 42.25 + 13f + f2 = -56 + 42.25 Combine like terms: -56 + 42.25 = -13.75 42.25 + 13f + f2 = -13.75 Factor a perfect square on the left side: (f + 6.5)(f + 6.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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