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Simplifying 15a4 = 3a2 Solving 15a4 = 3a2 Solving for variable 'a'. Reorder the terms: -3a2 + 15a4 = 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -3a2 + 15a4 = 0 Factor out the Greatest Common Factor (GCF), '3a2'. 3a2(-1 + 5a2) = 0 Ignore the factor 3.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 + 5a2)' equal to zero and attempt to solve: Simplifying -1 + 5a2 = 0 Solving -1 + 5a2 = 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 + 5a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a2 = 0 + 1 5a2 = 0 + 1 Combine like terms: 0 + 1 = 1 5a2 = 1 Divide each side by '5'. a2 = 0.2 Simplifying a2 = 0.2 Take the square root of each side: a = {-0.447213596, 0.447213596}Solution
a = {0, -0.447213596, 0.447213596}
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