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Simplifying 2b2 + -5b + 150 = 0 Reorder the terms: 150 + -5b + 2b2 = 0 Solving 150 + -5b + 2b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 75 + -2.5b + b2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -2.5b + -75 + b2 = 0 + -75 Reorder the terms: 75 + -75 + -2.5b + b2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -2.5b + b2 = 0 + -75 -2.5b + b2 = 0 + -75 Combine like terms: 0 + -75 = -75 -2.5b + b2 = -75 The b term is -2.5b. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5b + 1.5625 + b2 = -75 + 1.5625 Reorder the terms: 1.5625 + -2.5b + b2 = -75 + 1.5625 Combine like terms: -75 + 1.5625 = -73.4375 1.5625 + -2.5b + b2 = -73.4375 Factor a perfect square on the left side: (b + -1.25)(b + -1.25) = -73.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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