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Simplifying 6a4 + -13a2 + -5 = 0 Reorder the terms: -5 + -13a2 + 6a4 = 0 Solving -5 + -13a2 + 6a4 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -3a2)(5 + -2a2) = 0Subproblem 1
Set the factor '(-1 + -3a2)' equal to zero and attempt to solve: Simplifying -1 + -3a2 = 0 Solving -1 + -3a2 = 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 + -3a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3a2 = 0 + 1 -3a2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3a2 = 1 Divide each side by '-3'. a2 = -0.3333333333 Simplifying a2 = -0.3333333333 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 '(5 + -2a2)' equal to zero and attempt to solve: Simplifying 5 + -2a2 = 0 Solving 5 + -2a2 = 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 + -2a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a2 = 0 + -5 -2a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2a2 = -5 Divide each side by '-2'. a2 = 2.5 Simplifying a2 = 2.5 Take the square root of each side: a = {-1.58113883, 1.58113883}Solution
a = {-1.58113883, 1.58113883}
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