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Simplifying 5a4 + -3a3 + 2a4 = 0 Reorder the terms: -3a3 + 5a4 + 2a4 = 0 Combine like terms: 5a4 + 2a4 = 7a4 -3a3 + 7a4 = 0 Solving -3a3 + 7a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a3'. a3(-3 + 7a) = 0Subproblem 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 '(-3 + 7a)' equal to zero and attempt to solve: Simplifying -3 + 7a = 0 Solving -3 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 0 + 3 7a = 0 + 3 Combine like terms: 0 + 3 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286Solution
a = {0.4285714286}
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