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Simplifying 0 = b2 + -6b + 10 Reorder the terms: 0 = 10 + -6b + b2 Solving 0 = 10 + -6b + b2 Solving for variable 'b'. Combine like terms: 0 + -10 = -10 -10 + 6b + -1b2 = 10 + -6b + b2 + -10 + 6b + -1b2 Reorder the terms: -10 + 6b + -1b2 = 10 + -10 + -6b + 6b + b2 + -1b2 Combine like terms: 10 + -10 = 0 -10 + 6b + -1b2 = 0 + -6b + 6b + b2 + -1b2 -10 + 6b + -1b2 = -6b + 6b + b2 + -1b2 Combine like terms: -6b + 6b = 0 -10 + 6b + -1b2 = 0 + b2 + -1b2 -10 + 6b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -10 + 6b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -6b + b2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6b + -10 + b2 = 0 + -10 Reorder the terms: 10 + -10 + -6b + b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6b + b2 = 0 + -10 -6b + b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6b + b2 = -10 The b term is -6b. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6b + 9 + b2 = -10 + 9 Reorder the terms: 9 + -6b + b2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6b + b2 = -1 Factor a perfect square on the left side: (b + -3)(b + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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