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Simplifying 81a4 + -351a2 = 0 Reorder the terms: -351a2 + 81a4 = 0 Solving -351a2 + 81a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '27a2'. 27a2(-13 + 3a2) = 0 Ignore the factor 27.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 '(-13 + 3a2)' equal to zero and attempt to solve: Simplifying -13 + 3a2 = 0 Solving -13 + 3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3a2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3a2 = 0 + 13 3a2 = 0 + 13 Combine like terms: 0 + 13 = 13 3a2 = 13 Divide each side by '3'. a2 = 4.333333333 Simplifying a2 = 4.333333333 Take the square root of each side: a = {-2.081665999, 2.081665999}Solution
a = {0, -2.081665999, 2.081665999}
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