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Simplifying 16b2 + 40bf + 25f2 = 0 Reorder the terms: 40bf + 16b2 + 25f2 = 0 Solving 40bf + 16b2 + 25f2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + 5f)(4b + 5f) = 0Subproblem 1
Set the factor '(4b + 5f)' equal to zero and attempt to solve: Simplifying 4b + 5f = 0 Solving 4b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 4b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 4b + 0 = 0 + -5f 4b = 0 + -5f Remove the zero: 4b = -5f Divide each side by '4'. b = -1.25f Simplifying b = -1.25fSubproblem 2
Set the factor '(4b + 5f)' equal to zero and attempt to solve: Simplifying 4b + 5f = 0 Solving 4b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 4b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 4b + 0 = 0 + -5f 4b = 0 + -5f Remove the zero: 4b = -5f Divide each side by '4'. b = -1.25f Simplifying b = -1.25fSolution
b = {-1.25f, -1.25f}
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