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Simplifying 24v4 + 6v3b + -9v2b2 = 0 Reorder the terms: 6bv3 + -9b2v2 + 24v4 = 0 Solving 6bv3 + -9b2v2 + 24v4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3v2'. 3v2(2bv + -3b2 + 8v2) = 0 Factor a trinomial. 3v2((-3b + -4v)(b + -2v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1v2' to each side of the equation. v2 + -1v2 = 0 + -1v2 Remove the zero: 0 = -1v2 Simplifying 0 = -1v2 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 '(-3b + -4v)' equal to zero and attempt to solve: Simplifying -3b + -4v = 0 Solving -3b + -4v = 0 Move all terms containing b to the left, all other terms to the right. Add '4v' to each side of the equation. -3b + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 -3b + 0 = 0 + 4v -3b = 0 + 4v Remove the zero: -3b = 4v Divide each side by '-3'. b = -1.333333333v Simplifying b = -1.333333333vSubproblem 3
Set the factor '(b + -2v)' equal to zero and attempt to solve: Simplifying b + -2v = 0 Solving b + -2v = 0 Move all terms containing b to the left, all other terms to the right. Add '2v' to each side of the equation. b + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 b + 0 = 0 + 2v b = 0 + 2v Remove the zero: b = 2v Simplifying b = 2vSolution
b = {-1.333333333v, 2v}
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