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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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