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Simplifying 25b2 + 80bd + 64d2 = 0 Reorder the terms: 80bd + 25b2 + 64d2 = 0 Solving 80bd + 25b2 + 64d2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 8d)(5b + 8d) = 0Subproblem 1
Set the factor '(5b + 8d)' equal to zero and attempt to solve: Simplifying 5b + 8d = 0 Solving 5b + 8d = 0 Move all terms containing b to the left, all other terms to the right. Add '-8d' to each side of the equation. 5b + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 5b + 0 = 0 + -8d 5b = 0 + -8d Remove the zero: 5b = -8d Divide each side by '5'. b = -1.6d Simplifying b = -1.6dSubproblem 2
Set the factor '(5b + 8d)' equal to zero and attempt to solve: Simplifying 5b + 8d = 0 Solving 5b + 8d = 0 Move all terms containing b to the left, all other terms to the right. Add '-8d' to each side of the equation. 5b + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 5b + 0 = 0 + -8d 5b = 0 + -8d Remove the zero: 5b = -8d Divide each side by '5'. b = -1.6d Simplifying b = -1.6dSolution
b = {-1.6d, -1.6d}
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