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Simplifying 56b2 + -19bs + -15s2 = 0 Reorder the terms: -19bs + 56b2 + -15s2 = 0 Solving -19bs + 56b2 + -15s2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -5s)(8b + 3s) = 0Subproblem 1
Set the factor '(7b + -5s)' equal to zero and attempt to solve: Simplifying 7b + -5s = 0 Solving 7b + -5s = 0 Move all terms containing b to the left, all other terms to the right. Add '5s' to each side of the equation. 7b + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 7b + 0 = 0 + 5s 7b = 0 + 5s Remove the zero: 7b = 5s Divide each side by '7'. b = 0.7142857143s Simplifying b = 0.7142857143sSubproblem 2
Set the factor '(8b + 3s)' equal to zero and attempt to solve: Simplifying 8b + 3s = 0 Solving 8b + 3s = 0 Move all terms containing b to the left, all other terms to the right. Add '-3s' to each side of the equation. 8b + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 8b + 0 = 0 + -3s 8b = 0 + -3s Remove the zero: 8b = -3s Divide each side by '8'. b = -0.375s Simplifying b = -0.375sSolution
b = {0.7142857143s, -0.375s}
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