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Simplifying 20a4 + 13a2 + -15 = 0 Reorder the terms: -15 + 13a2 + 20a4 = 0 Solving -15 + 13a2 + 20a4 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -4a2)(3 + -5a2) = 0Subproblem 1
Set the factor '(-5 + -4a2)' equal to zero and attempt to solve: Simplifying -5 + -4a2 = 0 Solving -5 + -4a2 = 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 + -4a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4a2 = 0 + 5 -4a2 = 0 + 5 Combine like terms: 0 + 5 = 5 -4a2 = 5 Divide each side by '-4'. a2 = -1.25 Simplifying a2 = -1.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -5a2)' equal to zero and attempt to solve: Simplifying 3 + -5a2 = 0 Solving 3 + -5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a2 = 0 + -3 -5a2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5a2 = -3 Divide each side by '-5'. a2 = 0.6 Simplifying a2 = 0.6 Take the square root of each side: a = {-0.774596669, 0.774596669}Solution
a = {-0.774596669, 0.774596669}
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