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Simplifying 20v2 + -39vb + 18b2 = 0 Reorder the terms: -39bv + 18b2 + 20v2 = 0 Solving -39bv + 18b2 + 20v2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -4v)(6b + -5v) = 0Subproblem 1
Set the factor '(3b + -4v)' equal to zero and attempt to solve: Simplifying 3b + -4v = 0 Solving 3b + -4v = 0 Move all terms containing b to the left, all other terms to the right. Add '4v' to each side of the equation. 3b + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 3b + 0 = 0 + 4v 3b = 0 + 4v Remove the zero: 3b = 4v Divide each side by '3'. b = 1.333333333v Simplifying b = 1.333333333vSubproblem 2
Set the factor '(6b + -5v)' equal to zero and attempt to solve: Simplifying 6b + -5v = 0 Solving 6b + -5v = 0 Move all terms containing b to the left, all other terms to the right. Add '5v' to each side of the equation. 6b + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 6b + 0 = 0 + 5v 6b = 0 + 5v Remove the zero: 6b = 5v Divide each side by '6'. b = 0.8333333333v Simplifying b = 0.8333333333vSolution
b = {1.333333333v, 0.8333333333v}
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