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Simplifying 21a4 + 35a2 = 0 Reorder the terms: 35a2 + 21a4 = 0 Solving 35a2 + 21a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a2'. 7a2(5 + 3a2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(5 + 3a2)' equal to zero and attempt to solve: Simplifying 5 + 3a2 = 0 Solving 5 + 3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a2 = 0 + -5 3a2 = 0 + -5 Combine like terms: 0 + -5 = -5 3a2 = -5 Divide each side by '3'. a2 = -1.666666667 Simplifying a2 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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