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Simplifying 24a4 + -4a2 = 0 Reorder the terms: -4a2 + 24a4 = 0 Solving -4a2 + 24a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(-1 + 6a2) = 0 Ignore the factor 4.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 '(-1 + 6a2)' equal to zero and attempt to solve: Simplifying -1 + 6a2 = 0 Solving -1 + 6a2 = 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 + 6a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6a2 = 0 + 1 6a2 = 0 + 1 Combine like terms: 0 + 1 = 1 6a2 = 1 Divide each side by '6'. a2 = 0.1666666667 Simplifying a2 = 0.1666666667 Take the square root of each side: a = {-0.408248291, 0.408248291}Solution
a = {0, -0.408248291, 0.408248291}
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