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Simplifying 4f2 + -9f + 15 = 0 Reorder the terms: 15 + -9f + 4f2 = 0 Solving 15 + -9f + 4f2 = 0 Solving for variable 'f'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + -2.25f + f2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -2.25f + -3.75 + f2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -2.25f + f2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -2.25f + f2 = 0 + -3.75 -2.25f + f2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -2.25f + f2 = -3.75 The f term is -2.25f. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25f + 1.265625 + f2 = -3.75 + 1.265625 Reorder the terms: 1.265625 + -2.25f + f2 = -3.75 + 1.265625 Combine like terms: -3.75 + 1.265625 = -2.484375 1.265625 + -2.25f + f2 = -2.484375 Factor a perfect square on the left side: (f + -1.125)(f + -1.125) = -2.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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