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Simplifying -4b2 + 16b + 56 = -9 + -5b2 Reorder the terms: 56 + 16b + -4b2 = -9 + -5b2 Solving 56 + 16b + -4b2 = -9 + -5b2 Solving for variable 'b'. Reorder the terms: 56 + 9 + 16b + -4b2 + 5b2 = -9 + -5b2 + 9 + 5b2 Combine like terms: 56 + 9 = 65 65 + 16b + -4b2 + 5b2 = -9 + -5b2 + 9 + 5b2 Combine like terms: -4b2 + 5b2 = 1b2 65 + 16b + 1b2 = -9 + -5b2 + 9 + 5b2 Reorder the terms: 65 + 16b + 1b2 = -9 + 9 + -5b2 + 5b2 Combine like terms: -9 + 9 = 0 65 + 16b + 1b2 = 0 + -5b2 + 5b2 65 + 16b + 1b2 = -5b2 + 5b2 Combine like terms: -5b2 + 5b2 = 0 65 + 16b + 1b2 = 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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