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Simplifying 5f2 + -5f + 46 = 3f Reorder the terms: 46 + -5f + 5f2 = 3f Solving 46 + -5f + 5f2 = 3f Solving for variable 'f'. Reorder the terms: 46 + -5f + -3f + 5f2 = 3f + -3f Combine like terms: -5f + -3f = -8f 46 + -8f + 5f2 = 3f + -3f Combine like terms: 3f + -3f = 0 46 + -8f + 5f2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9.2 + -1.6f + f2 = 0 Move the constant term to the right: Add '-9.2' to each side of the equation. 9.2 + -1.6f + -9.2 + f2 = 0 + -9.2 Reorder the terms: 9.2 + -9.2 + -1.6f + f2 = 0 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -1.6f + f2 = 0 + -9.2 -1.6f + f2 = 0 + -9.2 Combine like terms: 0 + -9.2 = -9.2 -1.6f + f2 = -9.2 The f term is -1.6f. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6f + 0.64 + f2 = -9.2 + 0.64 Reorder the terms: 0.64 + -1.6f + f2 = -9.2 + 0.64 Combine like terms: -9.2 + 0.64 = -8.56 0.64 + -1.6f + f2 = -8.56 Factor a perfect square on the left side: (f + -0.8)(f + -0.8) = -8.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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