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Simplifying b2 = -16b + -64 Reorder the terms: b2 = -64 + -16b Solving b2 = -64 + -16b Solving for variable 'b'. Reorder the terms: 64 + 16b + b2 = -64 + -16b + 64 + 16b Reorder the terms: 64 + 16b + b2 = -64 + 64 + -16b + 16b Combine like terms: -64 + 64 = 0 64 + 16b + b2 = 0 + -16b + 16b 64 + 16b + b2 = -16b + 16b Combine like terms: -16b + 16b = 0 64 + 16b + b2 = 0 Factor a trinomial. (8 + b)(8 + b) = 0Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 2
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Solution
b = {-8, -8}
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