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Simplifying -33 + -8b + -1b2 = 0 Solving -33 + -8b + -1b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1'. -1(33 + 8b + b2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(33 + 8b + b2)' equal to zero and attempt to solve: Simplifying 33 + 8b + b2 = 0 Solving 33 + 8b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 8b + -33 + b2 = 0 + -33 Reorder the terms: 33 + -33 + 8b + b2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 8b + b2 = 0 + -33 8b + b2 = 0 + -33 Combine like terms: 0 + -33 = -33 8b + b2 = -33 The b term is 8b. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8b + 16 + b2 = -33 + 16 Reorder the terms: 16 + 8b + b2 = -33 + 16 Combine like terms: -33 + 16 = -17 16 + 8b + b2 = -17 Factor a perfect square on the left side: (b + 4)(b + 4) = -17 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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