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Simplifying 6b2 + -13bt + -63t2 = 0 Reorder the terms: -13bt + 6b2 + -63t2 = 0 Solving -13bt + 6b2 + -63t2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -9t)(3b + 7t) = 0Subproblem 1
Set the factor '(2b + -9t)' equal to zero and attempt to solve: Simplifying 2b + -9t = 0 Solving 2b + -9t = 0 Move all terms containing b to the left, all other terms to the right. Add '9t' to each side of the equation. 2b + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 2b + 0 = 0 + 9t 2b = 0 + 9t Remove the zero: 2b = 9t Divide each side by '2'. b = 4.5t Simplifying b = 4.5tSubproblem 2
Set the factor '(3b + 7t)' equal to zero and attempt to solve: Simplifying 3b + 7t = 0 Solving 3b + 7t = 0 Move all terms containing b to the left, all other terms to the right. Add '-7t' to each side of the equation. 3b + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 3b + 0 = 0 + -7t 3b = 0 + -7t Remove the zero: 3b = -7t Divide each side by '3'. b = -2.333333333t Simplifying b = -2.333333333tSolution
b = {4.5t, -2.333333333t}
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