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Simplifying 25b + 11 = -16b2 Reorder the terms: 11 + 25b = -16b2 Solving 11 + 25b = -16b2 Solving for variable 'b'. Combine like terms: -16b2 + 16b2 = 0 11 + 25b + 16b2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.6875 + 1.5625b + b2 = 0 Move the constant term to the right: Add '-0.6875' to each side of the equation. 0.6875 + 1.5625b + -0.6875 + b2 = 0 + -0.6875 Reorder the terms: 0.6875 + -0.6875 + 1.5625b + b2 = 0 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + 1.5625b + b2 = 0 + -0.6875 1.5625b + b2 = 0 + -0.6875 Combine like terms: 0 + -0.6875 = -0.6875 1.5625b + b2 = -0.6875 The b term is 1.5625b. Take half its coefficient (0.78125). Square it (0.6103515625) and add it to both sides. Add '0.6103515625' to each side of the equation. 1.5625b + 0.6103515625 + b2 = -0.6875 + 0.6103515625 Reorder the terms: 0.6103515625 + 1.5625b + b2 = -0.6875 + 0.6103515625 Combine like terms: -0.6875 + 0.6103515625 = -0.0771484375 0.6103515625 + 1.5625b + b2 = -0.0771484375 Factor a perfect square on the left side: (b + 0.78125)(b + 0.78125) = -0.0771484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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