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Simplifying b2 + 13bd + 36d2 = 0 Reorder the terms: 13bd + b2 + 36d2 = 0 Solving 13bd + b2 + 36d2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 4d)(b + 9d) = 0Subproblem 1
Set the factor '(b + 4d)' equal to zero and attempt to solve: Simplifying b + 4d = 0 Solving b + 4d = 0 Move all terms containing b to the left, all other terms to the right. Add '-4d' to each side of the equation. b + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 b + 0 = 0 + -4d b = 0 + -4d Remove the zero: b = -4d Simplifying b = -4dSubproblem 2
Set the factor '(b + 9d)' equal to zero and attempt to solve: Simplifying b + 9d = 0 Solving b + 9d = 0 Move all terms containing b to the left, all other terms to the right. Add '-9d' to each side of the equation. b + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 b + 0 = 0 + -9d b = 0 + -9d Remove the zero: b = -9d Simplifying b = -9dSolution
b = {-4d, -9d}
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