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Simplifying 18a4 + -39a2 + 20 = 0 Reorder the terms: 20 + -39a2 + 18a4 = 0 Solving 20 + -39a2 + 18a4 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -6a2)(4 + -3a2) = 0Subproblem 1
Set the factor '(5 + -6a2)' equal to zero and attempt to solve: Simplifying 5 + -6a2 = 0 Solving 5 + -6a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a2 = 0 + -5 -6a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -6a2 = -5 Divide each side by '-6'. a2 = 0.8333333333 Simplifying a2 = 0.8333333333 Take the square root of each side: a = {-0.912870929, 0.912870929}Subproblem 2
Set the factor '(4 + -3a2)' equal to zero and attempt to solve: Simplifying 4 + -3a2 = 0 Solving 4 + -3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a2 = 0 + -4 -3a2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3a2 = -4 Divide each side by '-3'. a2 = 1.333333333 Simplifying a2 = 1.333333333 Take the square root of each side: a = {-1.154700538, 1.154700538}Solution
a = {-0.912870929, 0.912870929, -1.154700538, 1.154700538}
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