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Simplifying 4b2 + 12bd + 9d2 = 0 Reorder the terms: 12bd + 4b2 + 9d2 = 0 Solving 12bd + 4b2 + 9d2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + 3d)(2b + 3d) = 0Subproblem 1
Set the factor '(2b + 3d)' equal to zero and attempt to solve: Simplifying 2b + 3d = 0 Solving 2b + 3d = 0 Move all terms containing b to the left, all other terms to the right. Add '-3d' to each side of the equation. 2b + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 2b + 0 = 0 + -3d 2b = 0 + -3d Remove the zero: 2b = -3d Divide each side by '2'. b = -1.5d Simplifying b = -1.5dSubproblem 2
Set the factor '(2b + 3d)' equal to zero and attempt to solve: Simplifying 2b + 3d = 0 Solving 2b + 3d = 0 Move all terms containing b to the left, all other terms to the right. Add '-3d' to each side of the equation. 2b + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 2b + 0 = 0 + -3d 2b = 0 + -3d Remove the zero: 2b = -3d Divide each side by '2'. b = -1.5d Simplifying b = -1.5dSolution
b = {-1.5d, -1.5d}
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