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Simplifying 20s2 + -23sb + 6b2 = 0 Reorder the terms: -23bs + 6b2 + 20s2 = 0 Solving -23bs + 6b2 + 20s2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -5s)(3b + -4s) = 0Subproblem 1
Set the factor '(2b + -5s)' equal to zero and attempt to solve: Simplifying 2b + -5s = 0 Solving 2b + -5s = 0 Move all terms containing b to the left, all other terms to the right. Add '5s' to each side of the equation. 2b + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 2b + 0 = 0 + 5s 2b = 0 + 5s Remove the zero: 2b = 5s Divide each side by '2'. b = 2.5s Simplifying b = 2.5sSubproblem 2
Set the factor '(3b + -4s)' equal to zero and attempt to solve: Simplifying 3b + -4s = 0 Solving 3b + -4s = 0 Move all terms containing b to the left, all other terms to the right. Add '4s' to each side of the equation. 3b + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 3b + 0 = 0 + 4s 3b = 0 + 4s Remove the zero: 3b = 4s Divide each side by '3'. b = 1.333333333s Simplifying b = 1.333333333sSolution
b = {2.5s, 1.333333333s}
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