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Simplifying 30a3b5 + 5ab2 + -40ab6 = 0 Reorder the terms: 5ab2 + -40ab6 + 30a3b5 = 0 Solving 5ab2 + -40ab6 + 30a3b5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab2'. 5ab2(1 + -8b4 + 6a2b3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 0 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 '(1 + -8b4 + 6a2b3)' equal to zero and attempt to solve: Simplifying 1 + -8b4 + 6a2b3 = 0 Reorder the terms: 1 + 6a2b3 + -8b4 = 0 Solving 1 + 6a2b3 + -8b4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6a2b3 + -1 + -8b4 = 0 + -1 Reorder the terms: 1 + -1 + 6a2b3 + -8b4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6a2b3 + -8b4 = 0 + -1 6a2b3 + -8b4 = 0 + -1 Combine like terms: 0 + -1 = -1 6a2b3 + -8b4 = -1 Add '8b4' to each side of the equation. 6a2b3 + -8b4 + 8b4 = -1 + 8b4 Combine like terms: -8b4 + 8b4 = 0 6a2b3 + 0 = -1 + 8b4 6a2b3 = -1 + 8b4 Divide each side by '6b3'. a2 = -0.1666666667b-3 + 1.333333333b Simplifying a2 = -0.1666666667b-3 + 1.333333333b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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