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Simplifying 49b2 + -112bt + 64t2 = 0 Reorder the terms: -112bt + 49b2 + 64t2 = 0 Solving -112bt + 49b2 + 64t2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -8t)(7b + -8t) = 0Subproblem 1
Set the factor '(7b + -8t)' equal to zero and attempt to solve: Simplifying 7b + -8t = 0 Solving 7b + -8t = 0 Move all terms containing b to the left, all other terms to the right. Add '8t' to each side of the equation. 7b + -8t + 8t = 0 + 8t Combine like terms: -8t + 8t = 0 7b + 0 = 0 + 8t 7b = 0 + 8t Remove the zero: 7b = 8t Divide each side by '7'. b = 1.142857143t Simplifying b = 1.142857143tSubproblem 2
Set the factor '(7b + -8t)' equal to zero and attempt to solve: Simplifying 7b + -8t = 0 Solving 7b + -8t = 0 Move all terms containing b to the left, all other terms to the right. Add '8t' to each side of the equation. 7b + -8t + 8t = 0 + 8t Combine like terms: -8t + 8t = 0 7b + 0 = 0 + 8t 7b = 0 + 8t Remove the zero: 7b = 8t Divide each side by '7'. b = 1.142857143t Simplifying b = 1.142857143tSolution
b = {1.142857143t, 1.142857143t}
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