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Simplifying b2 + 16b = -65 Reorder the terms: 16b + b2 = -65 Solving 16b + b2 = -65 Solving for variable 'b'. Reorder the terms: 65 + 16b + b2 = -65 + 65 Combine like terms: -65 + 65 = 0 65 + 16b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + 16b + -65 + b2 = 0 + -65 Reorder the terms: 65 + -65 + 16b + b2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 16b + b2 = 0 + -65 16b + b2 = 0 + -65 Combine like terms: 0 + -65 = -65 16b + b2 = -65 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 = -65 + 64 Reorder the terms: 64 + 16b + b2 = -65 + 64 Combine like terms: -65 + 64 = -1 64 + 16b + b2 = -1 Factor a perfect square on the left side: (b + 8)(b + 8) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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