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Simplifying b2 = 3(b + -3) Reorder the terms: b2 = 3(-3 + b) b2 = (-3 * 3 + b * 3) b2 = (-9 + 3b) Solving b2 = -9 + 3b Solving for variable 'b'. Reorder the terms: 9 + -3b + b2 = -9 + 3b + 9 + -3b Reorder the terms: 9 + -3b + b2 = -9 + 9 + 3b + -3b Combine like terms: -9 + 9 = 0 9 + -3b + b2 = 0 + 3b + -3b 9 + -3b + b2 = 3b + -3b Combine like terms: 3b + -3b = 0 9 + -3b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3b + -9 + b2 = 0 + -9 Reorder the terms: 9 + -9 + -3b + b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3b + b2 = 0 + -9 -3b + b2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3b + b2 = -9 The b term is -3b. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3b + 2.25 + b2 = -9 + 2.25 Reorder the terms: 2.25 + -3b + b2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + -3b + b2 = -6.75 Factor a perfect square on the left side: (b + -1.5)(b + -1.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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