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Simplifying 3b + -3b2 = 8 Solving 3b + -3b2 = 8 Solving for variable 'b'. Reorder the terms: -8 + 3b + -3b2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 3b + -3b2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2.666666667 + -1b + b2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + -1b + -2.666666667 + b2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + -1b + b2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + -1b + b2 = 0 + -2.666666667 -1b + b2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 -1b + b2 = -2.666666667 The b term is -1b. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1b + 0.25 + b2 = -2.666666667 + 0.25 Reorder the terms: 0.25 + -1b + b2 = -2.666666667 + 0.25 Combine like terms: -2.666666667 + 0.25 = -2.416666667 0.25 + -1b + b2 = -2.416666667 Factor a perfect square on the left side: (b + -0.5)(b + -0.5) = -2.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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