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Simplifying 10a4b2 + -2a3b = 0 Reorder the terms: -2a3b + 10a4b2 = 0 Solving -2a3b + 10a4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a3b'. 2a3b(-1 + 5ab) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve: Simplifying a3b = 0 Solving a3b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b = 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 + 5ab)' equal to zero and attempt to solve: Simplifying -1 + 5ab = 0 Solving -1 + 5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5ab = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5ab = 0 + 1 5ab = 0 + 1 Combine like terms: 0 + 1 = 1 5ab = 1 Divide each side by '5b'. a = 0.2b-1 Simplifying a = 0.2b-1Solution
a = {0.2b-1}
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