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Simplifying 20b2 + 21b + 10 = -2 Reorder the terms: 10 + 21b + 20b2 = -2 Solving 10 + 21b + 20b2 = -2 Solving for variable 'b'. Reorder the terms: 10 + 2 + 21b + 20b2 = -2 + 2 Combine like terms: 10 + 2 = 12 12 + 21b + 20b2 = -2 + 2 Combine like terms: -2 + 2 = 0 12 + 21b + 20b2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.6 + 1.05b + b2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 1.05b + -0.6 + b2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 1.05b + b2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.05b + b2 = 0 + -0.6 1.05b + b2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 1.05b + b2 = -0.6 The b term is 1.05b. Take half its coefficient (0.525). Square it (0.275625) and add it to both sides. Add '0.275625' to each side of the equation. 1.05b + 0.275625 + b2 = -0.6 + 0.275625 Reorder the terms: 0.275625 + 1.05b + b2 = -0.6 + 0.275625 Combine like terms: -0.6 + 0.275625 = -0.324375 0.275625 + 1.05b + b2 = -0.324375 Factor a perfect square on the left side: (b + 0.525)(b + 0.525) = -0.324375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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