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Simplifying 4f2 + -5f + 10 = 0 Reorder the terms: 10 + -5f + 4f2 = 0 Solving 10 + -5f + 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'. 2.5 + -1.25f + f2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.25f + -2.5 + f2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.25f + f2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.25f + f2 = 0 + -2.5 -1.25f + f2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.25f + f2 = -2.5 The f term is -1.25f. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25f + 0.390625 + f2 = -2.5 + 0.390625 Reorder the terms: 0.390625 + -1.25f + f2 = -2.5 + 0.390625 Combine like terms: -2.5 + 0.390625 = -2.109375 0.390625 + -1.25f + f2 = -2.109375 Factor a perfect square on the left side: (f + -0.625)(f + -0.625) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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