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Simplifying -14 + -16b2 + -19b = 0 Reorder the terms: -14 + -19b + -16b2 = 0 Solving -14 + -19b + -16b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 19b + 16b2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 19b + 16b2)' equal to zero and attempt to solve: Simplifying 14 + 19b + 16b2 = 0 Solving 14 + 19b + 16b2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.875 + 1.1875b + b2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 1.1875b + -0.875 + b2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 1.1875b + b2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 1.1875b + b2 = 0 + -0.875 1.1875b + b2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 1.1875b + b2 = -0.875 The b term is 1.1875b. Take half its coefficient (0.59375). Square it (0.3525390625) and add it to both sides. Add '0.3525390625' to each side of the equation. 1.1875b + 0.3525390625 + b2 = -0.875 + 0.3525390625 Reorder the terms: 0.3525390625 + 1.1875b + b2 = -0.875 + 0.3525390625 Combine like terms: -0.875 + 0.3525390625 = -0.5224609375 0.3525390625 + 1.1875b + b2 = -0.5224609375 Factor a perfect square on the left side: (b + 0.59375)(b + 0.59375) = -0.5224609375 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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