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Simplifying b2 + -5b + 21 = 0 Reorder the terms: 21 + -5b + b2 = 0 Solving 21 + -5b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -5b + -21 + b2 = 0 + -21 Reorder the terms: 21 + -21 + -5b + b2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5b + b2 = 0 + -21 -5b + b2 = 0 + -21 Combine like terms: 0 + -21 = -21 -5b + b2 = -21 The b term is -5b. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5b + 6.25 + b2 = -21 + 6.25 Reorder the terms: 6.25 + -5b + b2 = -21 + 6.25 Combine like terms: -21 + 6.25 = -14.75 6.25 + -5b + b2 = -14.75 Factor a perfect square on the left side: (b + -2.5)(b + -2.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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