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Simplifying 24b + -1b2 = 240 Solving 24b + -1b2 = 240 Solving for variable 'b'. Reorder the terms: -240 + 24b + -1b2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 24b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 240 + -24b + b2 = 0 Move the constant term to the right: Add '-240' to each side of the equation. 240 + -24b + -240 + b2 = 0 + -240 Reorder the terms: 240 + -240 + -24b + b2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -24b + b2 = 0 + -240 -24b + b2 = 0 + -240 Combine like terms: 0 + -240 = -240 -24b + b2 = -240 The b term is -24b. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24b + 144 + b2 = -240 + 144 Reorder the terms: 144 + -24b + b2 = -240 + 144 Combine like terms: -240 + 144 = -96 144 + -24b + b2 = -96 Factor a perfect square on the left side: (b + -12)(b + -12) = -96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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