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Simplifying 25b2 + 20bf + 4f2 = 0 Reorder the terms: 20bf + 25b2 + 4f2 = 0 Solving 20bf + 25b2 + 4f2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 2f)(5b + 2f) = 0Subproblem 1
Set the factor '(5b + 2f)' equal to zero and attempt to solve: Simplifying 5b + 2f = 0 Solving 5b + 2f = 0 Move all terms containing b to the left, all other terms to the right. Add '-2f' to each side of the equation. 5b + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 5b + 0 = 0 + -2f 5b = 0 + -2f Remove the zero: 5b = -2f Divide each side by '5'. b = -0.4f Simplifying b = -0.4fSubproblem 2
Set the factor '(5b + 2f)' equal to zero and attempt to solve: Simplifying 5b + 2f = 0 Solving 5b + 2f = 0 Move all terms containing b to the left, all other terms to the right. Add '-2f' to each side of the equation. 5b + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 5b + 0 = 0 + -2f 5b = 0 + -2f Remove the zero: 5b = -2f Divide each side by '5'. b = -0.4f Simplifying b = -0.4fSolution
b = {-0.4f, -0.4f}
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