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Simplifying 42s2 + 19sb + -35b2 = 0 Reorder the terms: 19bs + -35b2 + 42s2 = 0 Solving 19bs + -35b2 + 42s2 = 0 Solving for variable 'b'. Factor a trinomial. (-7b + -6s)(5b + -7s) = 0Subproblem 1
Set the factor '(-7b + -6s)' equal to zero and attempt to solve: Simplifying -7b + -6s = 0 Solving -7b + -6s = 0 Move all terms containing b to the left, all other terms to the right. Add '6s' to each side of the equation. -7b + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 -7b + 0 = 0 + 6s -7b = 0 + 6s Remove the zero: -7b = 6s Divide each side by '-7'. b = -0.8571428571s Simplifying b = -0.8571428571sSubproblem 2
Set the factor '(5b + -7s)' equal to zero and attempt to solve: Simplifying 5b + -7s = 0 Solving 5b + -7s = 0 Move all terms containing b to the left, all other terms to the right. Add '7s' to each side of the equation. 5b + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 5b + 0 = 0 + 7s 5b = 0 + 7s Remove the zero: 5b = 7s Divide each side by '5'. b = 1.4s Simplifying b = 1.4sSolution
b = {-0.8571428571s, 1.4s}
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