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Simplifying 6b2 + -9b + 15 = 7 Reorder the terms: 15 + -9b + 6b2 = 7 Solving 15 + -9b + 6b2 = 7 Solving for variable 'b'. Reorder the terms: 15 + -7 + -9b + 6b2 = 7 + -7 Combine like terms: 15 + -7 = 8 8 + -9b + 6b2 = 7 + -7 Combine like terms: 7 + -7 = 0 8 + -9b + 6b2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + -1.5b + b2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -1.5b + -1.333333333 + b2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -1.5b + b2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -1.5b + b2 = 0 + -1.333333333 -1.5b + b2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -1.5b + b2 = -1.333333333 The b term is -1.5b. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5b + 0.5625 + b2 = -1.333333333 + 0.5625 Reorder the terms: 0.5625 + -1.5b + b2 = -1.333333333 + 0.5625 Combine like terms: -1.333333333 + 0.5625 = -0.770833333 0.5625 + -1.5b + b2 = -0.770833333 Factor a perfect square on the left side: (b + -0.75)(b + -0.75) = -0.770833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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