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Simplifying 9f2 + 15f + 8 = 0 Reorder the terms: 8 + 15f + 9f2 = 0 Solving 8 + 15f + 9f2 = 0 Solving for variable 'f'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + 1.666666667f + f2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + 1.666666667f + -0.8888888889 + f2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + 1.666666667f + f2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + 1.666666667f + f2 = 0 + -0.8888888889 1.666666667f + f2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 1.666666667f + f2 = -0.8888888889 The f term is 1.666666667f. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667f + 0.6944444447 + f2 = -0.8888888889 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667f + f2 = -0.8888888889 + 0.6944444447 Combine like terms: -0.8888888889 + 0.6944444447 = -0.1944444442 0.6944444447 + 1.666666667f + f2 = -0.1944444442 Factor a perfect square on the left side: (f + 0.8333333335)(f + 0.8333333335) = -0.1944444442 Can't calculate square root of the right side. The solution to this equation could not be determined.
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