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Simplifying 9b2 + -24bt + 16t2 = 0 Reorder the terms: -24bt + 9b2 + 16t2 = 0 Solving -24bt + 9b2 + 16t2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -4t)(3b + -4t) = 0Subproblem 1
Set the factor '(3b + -4t)' equal to zero and attempt to solve: Simplifying 3b + -4t = 0 Solving 3b + -4t = 0 Move all terms containing b to the left, all other terms to the right. Add '4t' to each side of the equation. 3b + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3b + 0 = 0 + 4t 3b = 0 + 4t Remove the zero: 3b = 4t Divide each side by '3'. b = 1.333333333t Simplifying b = 1.333333333tSubproblem 2
Set the factor '(3b + -4t)' equal to zero and attempt to solve: Simplifying 3b + -4t = 0 Solving 3b + -4t = 0 Move all terms containing b to the left, all other terms to the right. Add '4t' to each side of the equation. 3b + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3b + 0 = 0 + 4t 3b = 0 + 4t Remove the zero: 3b = 4t Divide each side by '3'. b = 1.333333333t Simplifying b = 1.333333333tSolution
b = {1.333333333t, 1.333333333t}
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