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Simplifying 9a4 + -3a2 + -20 = 0 Reorder the terms: -20 + -3a2 + 9a4 = 0 Solving -20 + -3a2 + 9a4 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -3a2)(5 + -3a2) = 0Subproblem 1
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 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 + -3a2)' equal to zero and attempt to solve: Simplifying 5 + -3a2 = 0 Solving 5 + -3a2 = 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 + -3a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a2 = 0 + -5 -3a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3a2 = -5 Divide each side by '-3'. a2 = 1.666666667 Simplifying a2 = 1.666666667 Take the square root of each side: a = {-1.290994449, 1.290994449}Solution
a = {-1.290994449, 1.290994449}
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