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Simplifying b2v5 + 4bv4 + -60v3 = 0 Reorder the terms: 4bv4 + b2v5 + -60v3 = 0 Solving 4bv4 + b2v5 + -60v3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'v3'. v3(4bv + b2v2 + -60) = 0 Factor a trinomial. v3((bv + -6)(bv + 10)) = 0Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1v3' to each side of the equation. v3 + -1v3 = 0 + -1v3 Remove the zero: 0 = -1v3 Simplifying 0 = -1v3 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 '(bv + -6)' equal to zero and attempt to solve: Simplifying bv + -6 = 0 Reorder the terms: -6 + bv = 0 Solving -6 + bv = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + bv = 0 + 6 Combine like terms: -6 + 6 = 0 0 + bv = 0 + 6 bv = 0 + 6 Combine like terms: 0 + 6 = 6 bv = 6 Divide each side by 'v'. b = 6v-1 Simplifying b = 6v-1Subproblem 3
Set the factor '(bv + 10)' equal to zero and attempt to solve: Simplifying bv + 10 = 0 Reorder the terms: 10 + bv = 0 Solving 10 + bv = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + bv = 0 + -10 Combine like terms: 10 + -10 = 0 0 + bv = 0 + -10 bv = 0 + -10 Combine like terms: 0 + -10 = -10 bv = -10 Divide each side by 'v'. b = -10v-1 Simplifying b = -10v-1Solution
b = {6v-1, -10v-1}
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