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Simplifying 16c2 + -38c + 28 = 0 Reorder the terms: 28 + -38c + 16c2 = 0 Solving 28 + -38c + 16c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(14 + -19c + 8c2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -19c + 8c2)' equal to zero and attempt to solve: Simplifying 14 + -19c + 8c2 = 0 Solving 14 + -19c + 8c2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.75 + -2.375c + c2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -2.375c + -1.75 + c2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -2.375c + c2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -2.375c + c2 = 0 + -1.75 -2.375c + c2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -2.375c + c2 = -1.75 The c term is -2.375c. Take half its coefficient (-1.1875). Square it (1.41015625) and add it to both sides. Add '1.41015625' to each side of the equation. -2.375c + 1.41015625 + c2 = -1.75 + 1.41015625 Reorder the terms: 1.41015625 + -2.375c + c2 = -1.75 + 1.41015625 Combine like terms: -1.75 + 1.41015625 = -0.33984375 1.41015625 + -2.375c + c2 = -0.33984375 Factor a perfect square on the left side: (c + -1.1875)(c + -1.1875) = -0.33984375 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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