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Simplifying 42b2 + -17bs + -15s2 = 0 Reorder the terms: -17bs + 42b2 + -15s2 = 0 Solving -17bs + 42b2 + -15s2 = 0 Solving for variable 'b'. Factor a trinomial. (6b + -5s)(7b + 3s) = 0Subproblem 1
Set the factor '(6b + -5s)' equal to zero and attempt to solve: Simplifying 6b + -5s = 0 Solving 6b + -5s = 0 Move all terms containing b to the left, all other terms to the right. Add '5s' to each side of the equation. 6b + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 6b + 0 = 0 + 5s 6b = 0 + 5s Remove the zero: 6b = 5s Divide each side by '6'. b = 0.8333333333s Simplifying b = 0.8333333333sSubproblem 2
Set the factor '(7b + 3s)' equal to zero and attempt to solve: Simplifying 7b + 3s = 0 Solving 7b + 3s = 0 Move all terms containing b to the left, all other terms to the right. Add '-3s' to each side of the equation. 7b + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 7b + 0 = 0 + -3s 7b = 0 + -3s Remove the zero: 7b = -3s Divide each side by '7'. b = -0.4285714286s Simplifying b = -0.4285714286sSolution
b = {0.8333333333s, -0.4285714286s}
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