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Simplifying 40s4 + 50s3b + -35s2b2 = 0 Reorder the terms: 50bs3 + -35b2s2 + 40s4 = 0 Solving 50bs3 + -35b2s2 + 40s4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5s2'. 5s2(10bs + -7b2 + 8s2) = 0 Factor a trinomial. 5s2((-7b + -4s)(b + -2s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1s2' to each side of the equation. s2 + -1s2 = 0 + -1s2 Remove the zero: 0 = -1s2 Simplifying 0 = -1s2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7b + -4s)' equal to zero and attempt to solve: Simplifying -7b + -4s = 0 Solving -7b + -4s = 0 Move all terms containing b to the left, all other terms to the right. Add '4s' to each side of the equation. -7b + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 -7b + 0 = 0 + 4s -7b = 0 + 4s Remove the zero: -7b = 4s Divide each side by '-7'. b = -0.5714285714s Simplifying b = -0.5714285714sSubproblem 3
Set the factor '(b + -2s)' equal to zero and attempt to solve: Simplifying b + -2s = 0 Solving b + -2s = 0 Move all terms containing b to the left, all other terms to the right. Add '2s' to each side of the equation. b + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 b + 0 = 0 + 2s b = 0 + 2s Remove the zero: b = 2s Simplifying b = 2sSolution
b = {-0.5714285714s, 2s}
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