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Simplifying 5b2 + 18b + 36 = 0 Reorder the terms: 36 + 18b + 5b2 = 0 Solving 36 + 18b + 5b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.2 + 3.6b + b2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + 3.6b + -7.2 + b2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + 3.6b + b2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 3.6b + b2 = 0 + -7.2 3.6b + b2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 3.6b + b2 = -7.2 The b term is 3.6b. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6b + 3.24 + b2 = -7.2 + 3.24 Reorder the terms: 3.24 + 3.6b + b2 = -7.2 + 3.24 Combine like terms: -7.2 + 3.24 = -3.96 3.24 + 3.6b + b2 = -3.96 Factor a perfect square on the left side: (b + 1.8)(b + 1.8) = -3.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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