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Simplifying b2 + 4b + 56 = 8 Reorder the terms: 56 + 4b + b2 = 8 Solving 56 + 4b + b2 = 8 Solving for variable 'b'. Reorder the terms: 56 + -8 + 4b + b2 = 8 + -8 Combine like terms: 56 + -8 = 48 48 + 4b + b2 = 8 + -8 Combine like terms: 8 + -8 = 0 48 + 4b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 4b + -48 + b2 = 0 + -48 Reorder the terms: 48 + -48 + 4b + b2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 4b + b2 = 0 + -48 4b + b2 = 0 + -48 Combine like terms: 0 + -48 = -48 4b + b2 = -48 The b term is 4b. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4b + 4 + b2 = -48 + 4 Reorder the terms: 4 + 4b + b2 = -48 + 4 Combine like terms: -48 + 4 = -44 4 + 4b + b2 = -44 Factor a perfect square on the left side: (b + 2)(b + 2) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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