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Simplifying 20s2 + 11sb + -3b2 = 0 Reorder the terms: 11bs + -3b2 + 20s2 = 0 Solving 11bs + -3b2 + 20s2 = 0 Solving for variable 'b'. Factor a trinomial. (-3b + -4s)(b + -5s) = 0Subproblem 1
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 = -1.333333333sSubproblem 2
Set the factor '(b + -5s)' equal to zero and attempt to solve: Simplifying b + -5s = 0 Solving b + -5s = 0 Move all terms containing b to the left, all other terms to the right. Add '5s' to each side of the equation. b + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 b + 0 = 0 + 5s b = 0 + 5s Remove the zero: b = 5s Simplifying b = 5sSolution
b = {-1.333333333s, 5s}
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