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Simplifying 2a4 + -6a2 = 0 Reorder the terms: -6a2 + 2a4 = 0 Solving -6a2 + 2a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(-3 + a2) = 0 Ignore the factor 2.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 '(-3 + a2)' equal to zero and attempt to solve: Simplifying -3 + a2 = 0 Solving -3 + a2 = 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 + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a2 = 0 + 3 a2 = 0 + 3 Combine like terms: 0 + 3 = 3 a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}Solution
a = {0, -1.732050808, 1.732050808}
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