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Simplifying 4b2 + 20bt + 25t2 = 0 Reorder the terms: 20bt + 4b2 + 25t2 = 0 Solving 20bt + 4b2 + 25t2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + 5t)(2b + 5t) = 0Subproblem 1
Set the factor '(2b + 5t)' equal to zero and attempt to solve: Simplifying 2b + 5t = 0 Solving 2b + 5t = 0 Move all terms containing b to the left, all other terms to the right. Add '-5t' to each side of the equation. 2b + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2b + 0 = 0 + -5t 2b = 0 + -5t Remove the zero: 2b = -5t Divide each side by '2'. b = -2.5t Simplifying b = -2.5tSubproblem 2
Set the factor '(2b + 5t)' equal to zero and attempt to solve: Simplifying 2b + 5t = 0 Solving 2b + 5t = 0 Move all terms containing b to the left, all other terms to the right. Add '-5t' to each side of the equation. 2b + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2b + 0 = 0 + -5t 2b = 0 + -5t Remove the zero: 2b = -5t Divide each side by '2'. b = -2.5t Simplifying b = -2.5tSolution
b = {-2.5t, -2.5t}
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