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Simplifying 15a2b2 + -30a3b3 + 25a2b = 0 Reorder the terms: 25a2b + 15a2b2 + -30a3b3 = 0 Solving 25a2b + 15a2b2 + -30a3b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2b'. 5a2b(5 + 3b + -6ab2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(5 + 3b + -6ab2)' equal to zero and attempt to solve: Simplifying 5 + 3b + -6ab2 = 0 Reorder the terms: 5 + -6ab2 + 3b = 0 Solving 5 + -6ab2 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6ab2 + -5 + 3b = 0 + -5 Reorder the terms: 5 + -5 + -6ab2 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6ab2 + 3b = 0 + -5 -6ab2 + 3b = 0 + -5 Combine like terms: 0 + -5 = -5 -6ab2 + 3b = -5 Add '-3b' to each side of the equation. -6ab2 + 3b + -3b = -5 + -3b Combine like terms: 3b + -3b = 0 -6ab2 + 0 = -5 + -3b -6ab2 = -5 + -3b Divide each side by '-6b2'. a = 0.8333333333b-2 + 0.5b-1 Simplifying a = 0.8333333333b-2 + 0.5b-1Solution
a = {0.8333333333b-2 + 0.5b-1}
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