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Simplifying 5a4 + -9a3 + 4a4 = 0 Reorder the terms: -9a3 + 5a4 + 4a4 = 0 Combine like terms: 5a4 + 4a4 = 9a4 -9a3 + 9a4 = 0 Solving -9a3 + 9a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9a3'. 9a3(-1 + a) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 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 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {1}
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