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Simplifying 18b2 + 24bd + 8d2 = 0 Reorder the terms: 24bd + 18b2 + 8d2 = 0 Solving 24bd + 18b2 + 8d2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(12bd + 9b2 + 4d2) = 0 Factor a trinomial. 2((3b + 2d)(3b + 2d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3b + 2d)' equal to zero and attempt to solve: Simplifying 3b + 2d = 0 Solving 3b + 2d = 0 Move all terms containing b to the left, all other terms to the right. Add '-2d' to each side of the equation. 3b + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 3b + 0 = 0 + -2d 3b = 0 + -2d Remove the zero: 3b = -2d Divide each side by '3'. b = -0.6666666667d Simplifying b = -0.6666666667dSubproblem 2
Set the factor '(3b + 2d)' equal to zero and attempt to solve: Simplifying 3b + 2d = 0 Solving 3b + 2d = 0 Move all terms containing b to the left, all other terms to the right. Add '-2d' to each side of the equation. 3b + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 3b + 0 = 0 + -2d 3b = 0 + -2d Remove the zero: 3b = -2d Divide each side by '3'. b = -0.6666666667d Simplifying b = -0.6666666667dSolution
b = {-0.6666666667d, -0.6666666667d}
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