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Simplifying b2 + 100 + 20b = 0 Reorder the terms: 100 + 20b + b2 = 0 Solving 100 + 20b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (10 + b)(10 + b) = 0Subproblem 1
Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Subproblem 2
Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Solution
b = {-10, -10}
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