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Simplifying b2 + -10b + 25 = -121 Reorder the terms: 25 + -10b + b2 = -121 Solving 25 + -10b + b2 = -121 Solving for variable 'b'. Reorder the terms: 25 + 121 + -10b + b2 = -121 + 121 Combine like terms: 25 + 121 = 146 146 + -10b + b2 = -121 + 121 Combine like terms: -121 + 121 = 0 146 + -10b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-146' to each side of the equation. 146 + -10b + -146 + b2 = 0 + -146 Reorder the terms: 146 + -146 + -10b + b2 = 0 + -146 Combine like terms: 146 + -146 = 0 0 + -10b + b2 = 0 + -146 -10b + b2 = 0 + -146 Combine like terms: 0 + -146 = -146 -10b + b2 = -146 The b term is -10b. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10b + 25 + b2 = -146 + 25 Reorder the terms: 25 + -10b + b2 = -146 + 25 Combine like terms: -146 + 25 = -121 25 + -10b + b2 = -121 Factor a perfect square on the left side: (b + -5)(b + -5) = -121 Can't calculate square root of the right side. The solution to this equation could not be determined.
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