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Simplifying 6b2 + 13bs + -63s2 = 0 Reorder the terms: 13bs + 6b2 + -63s2 = 0 Solving 13bs + 6b2 + -63s2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + -7s)(2b + 9s) = 0Subproblem 1
Set the factor '(3b + -7s)' equal to zero and attempt to solve: Simplifying 3b + -7s = 0 Solving 3b + -7s = 0 Move all terms containing b to the left, all other terms to the right. Add '7s' to each side of the equation. 3b + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 3b + 0 = 0 + 7s 3b = 0 + 7s Remove the zero: 3b = 7s Divide each side by '3'. b = 2.333333333s Simplifying b = 2.333333333sSubproblem 2
Set the factor '(2b + 9s)' equal to zero and attempt to solve: Simplifying 2b + 9s = 0 Solving 2b + 9s = 0 Move all terms containing b to the left, all other terms to the right. Add '-9s' to each side of the equation. 2b + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 2b + 0 = 0 + -9s 2b = 0 + -9s Remove the zero: 2b = -9s Divide each side by '2'. b = -4.5s Simplifying b = -4.5sSolution
b = {2.333333333s, -4.5s}
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