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Simplifying 25b2 + 80bf + 64f2 = 0 Reorder the terms: 80bf + 25b2 + 64f2 = 0 Solving 80bf + 25b2 + 64f2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 8f)(5b + 8f) = 0Subproblem 1
Set the factor '(5b + 8f)' equal to zero and attempt to solve: Simplifying 5b + 8f = 0 Solving 5b + 8f = 0 Move all terms containing b to the left, all other terms to the right. Add '-8f' to each side of the equation. 5b + 8f + -8f = 0 + -8f Combine like terms: 8f + -8f = 0 5b + 0 = 0 + -8f 5b = 0 + -8f Remove the zero: 5b = -8f Divide each side by '5'. b = -1.6f Simplifying b = -1.6fSubproblem 2
Set the factor '(5b + 8f)' equal to zero and attempt to solve: Simplifying 5b + 8f = 0 Solving 5b + 8f = 0 Move all terms containing b to the left, all other terms to the right. Add '-8f' to each side of the equation. 5b + 8f + -8f = 0 + -8f Combine like terms: 8f + -8f = 0 5b + 0 = 0 + -8f 5b = 0 + -8f Remove the zero: 5b = -8f Divide each side by '5'. b = -1.6f Simplifying b = -1.6fSolution
b = {-1.6f, -1.6f}
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