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Simplifying 72a4 + -120a2 + 50 = 0 Reorder the terms: 50 + -120a2 + 72a4 = 0 Solving 50 + -120a2 + 72a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -60a2 + 36a4) = 0 Factor a trinomial. 2((5 + -6a2)(5 + -6a2)) = 0 Ignore the factor 2.Subproblem 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 '(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}Solution
a = {-0.912870929, 0.912870929, -0.912870929, 0.912870929}
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