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Simplifying 25b2 + 20bd + 4d2 = 0 Reorder the terms: 20bd + 25b2 + 4d2 = 0 Solving 20bd + 25b2 + 4d2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 2d)(5b + 2d) = 0Subproblem 1
Set the factor '(5b + 2d)' equal to zero and attempt to solve: Simplifying 5b + 2d = 0 Solving 5b + 2d = 0 Move all terms containing b to the left, all other terms to the right. Add '-2d' to each side of the equation. 5b + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 5b + 0 = 0 + -2d 5b = 0 + -2d Remove the zero: 5b = -2d Divide each side by '5'. b = -0.4d Simplifying b = -0.4dSubproblem 2
Set the factor '(5b + 2d)' equal to zero and attempt to solve: Simplifying 5b + 2d = 0 Solving 5b + 2d = 0 Move all terms containing b to the left, all other terms to the right. Add '-2d' to each side of the equation. 5b + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 5b + 0 = 0 + -2d 5b = 0 + -2d Remove the zero: 5b = -2d Divide each side by '5'. b = -0.4d Simplifying b = -0.4dSolution
b = {-0.4d, -0.4d}
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