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Simplifying b2 + -6bd + -27d2 = 0 Reorder the terms: -6bd + b2 + -27d2 = 0 Solving -6bd + b2 + -27d2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -9d)(b + 3d) = 0Subproblem 1
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 = 9dSubproblem 2
Set the factor '(b + 3d)' equal to zero and attempt to solve: Simplifying b + 3d = 0 Solving b + 3d = 0 Move all terms containing b to the left, all other terms to the right. Add '-3d' to each side of the equation. b + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 b + 0 = 0 + -3d b = 0 + -3d Remove the zero: b = -3d Simplifying b = -3dSolution
b = {9d, -3d}
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