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Simplifying b2 + 16b + 84 = 0 Reorder the terms: 84 + 16b + b2 = 0 Solving 84 + 16b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 16b + -84 + b2 = 0 + -84 Reorder the terms: 84 + -84 + 16b + b2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 16b + b2 = 0 + -84 16b + b2 = 0 + -84 Combine like terms: 0 + -84 = -84 16b + b2 = -84 The b term is 16b. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16b + 64 + b2 = -84 + 64 Reorder the terms: 64 + 16b + b2 = -84 + 64 Combine like terms: -84 + 64 = -20 64 + 16b + b2 = -20 Factor a perfect square on the left side: (b + 8)(b + 8) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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