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Simplifying b2 + -4b + 12 = -6 Reorder the terms: 12 + -4b + b2 = -6 Solving 12 + -4b + b2 = -6 Solving for variable 'b'. Reorder the terms: 12 + 6 + -4b + b2 = -6 + 6 Combine like terms: 12 + 6 = 18 18 + -4b + b2 = -6 + 6 Combine like terms: -6 + 6 = 0 18 + -4b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -4b + -18 + b2 = 0 + -18 Reorder the terms: 18 + -18 + -4b + b2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4b + b2 = 0 + -18 -4b + b2 = 0 + -18 Combine like terms: 0 + -18 = -18 -4b + b2 = -18 The b term is -4b. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4b + 4 + b2 = -18 + 4 Reorder the terms: 4 + -4b + b2 = -18 + 4 Combine like terms: -18 + 4 = -14 4 + -4b + b2 = -14 Factor a perfect square on the left side: (b + -2)(b + -2) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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