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Simplifying 2f2 + -6f + 308 = 0 Reorder the terms: 308 + -6f + 2f2 = 0 Solving 308 + -6f + 2f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2'. 2(154 + -3f + f2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(154 + -3f + f2)' equal to zero and attempt to solve: Simplifying 154 + -3f + f2 = 0 Solving 154 + -3f + f2 = 0 Begin completing the square. Move the constant term to the right: Add '-154' to each side of the equation. 154 + -3f + -154 + f2 = 0 + -154 Reorder the terms: 154 + -154 + -3f + f2 = 0 + -154 Combine like terms: 154 + -154 = 0 0 + -3f + f2 = 0 + -154 -3f + f2 = 0 + -154 Combine like terms: 0 + -154 = -154 -3f + f2 = -154 The f term is -3f. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3f + 2.25 + f2 = -154 + 2.25 Reorder the terms: 2.25 + -3f + f2 = -154 + 2.25 Combine like terms: -154 + 2.25 = -151.75 2.25 + -3f + f2 = -151.75 Factor a perfect square on the left side: (f + -1.5)(f + -1.5) = -151.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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