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Simplifying 35a3b3 + 15a3b3 + -20a2b2 = 0 Reorder the terms: -20a2b2 + 35a3b3 + 15a3b3 = 0 Combine like terms: 35a3b3 + 15a3b3 = 50a3b3 -20a2b2 + 50a3b3 = 0 Solving -20a2b2 + 50a3b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a2b2'. 10a2b2(-2 + 5ab) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(-2 + 5ab)' equal to zero and attempt to solve: Simplifying -2 + 5ab = 0 Solving -2 + 5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5ab = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5ab = 0 + 2 5ab = 0 + 2 Combine like terms: 0 + 2 = 2 5ab = 2 Divide each side by '5b'. a = 0.4b-1 Simplifying a = 0.4b-1Solution
a = {0.4b-1}
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