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Simplifying 56b2 + 17bs + -3s2 = 0 Reorder the terms: 17bs + 56b2 + -3s2 = 0 Solving 17bs + 56b2 + -3s2 = 0 Solving for variable 'b'. Factor a trinomial. (8b + -1s)(7b + 3s) = 0Subproblem 1
Set the factor '(8b + -1s)' equal to zero and attempt to solve: Simplifying 8b + -1s = 0 Solving 8b + -1s = 0 Move all terms containing b to the left, all other terms to the right. Add 's' to each side of the equation. 8b + -1s + s = 0 + s Combine like terms: -1s + s = 0 8b + 0 = 0 + s 8b = 0 + s Remove the zero: 8b = s Divide each side by '8'. b = 0.125s Simplifying b = 0.125sSubproblem 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 = {0.125s, -0.4285714286s}
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