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Simplifying 36a4 = 4a2 Solving 36a4 = 4a2 Solving for variable 'a'. Reorder the terms: -4a2 + 36a4 = 4a2 + -4a2 Combine like terms: 4a2 + -4a2 = 0 -4a2 + 36a4 = 0 Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(-1 + 9a2) = 0 Factor a difference between two squares. 4a2((1 + 3a)(-1 + 3a)) = 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 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 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 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Subproblem 3
Set the factor '(-1 + 3a)' equal to zero and attempt to solve: Simplifying -1 + 3a = 0 Solving -1 + 3a = 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 + 3a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a = 0 + 1 3a = 0 + 1 Combine like terms: 0 + 1 = 1 3a = 1 Divide each side by '3'. a = 0.3333333333 Simplifying a = 0.3333333333Solution
a = {0, -0.3333333333, 0.3333333333}
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