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Simplifying b2 + 10bd + 25d2 = 0 Reorder the terms: 10bd + b2 + 25d2 = 0 Solving 10bd + b2 + 25d2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 5d)(b + 5d) = 0Subproblem 1
Set the factor '(b + 5d)' equal to zero and attempt to solve: Simplifying b + 5d = 0 Solving b + 5d = 0 Move all terms containing b to the left, all other terms to the right. Add '-5d' to each side of the equation. b + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 b + 0 = 0 + -5d b = 0 + -5d Remove the zero: b = -5d Simplifying b = -5dSubproblem 2
Set the factor '(b + 5d)' equal to zero and attempt to solve: Simplifying b + 5d = 0 Solving b + 5d = 0 Move all terms containing b to the left, all other terms to the right. Add '-5d' to each side of the equation. b + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 b + 0 = 0 + -5d b = 0 + -5d Remove the zero: b = -5d Simplifying b = -5dSolution
b = {-5d, -5d}
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