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Simplifying (a4) + (16a2) + -225 = 0 a4 + (16a2) + -225 = 0 Reorder the terms: -225 + (16a2) + a4 = 0 Solving -225 + (16a2) + a4 = 0 Solving for variable 'a'. Factor a trinomial. (-25 + -1a2)(9 + -1a2) = 0 Factor a difference between two squares. (-25 + -1a2)((3 + a)(3 + -1a)) = 0Subproblem 1
Set the factor '(-25 + -1a2)' equal to zero and attempt to solve: Simplifying -25 + -1a2 = 0 Solving -25 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1a2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1a2 = 0 + 25 -1a2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1a2 = 25 Divide each side by '-1'. a2 = -25 Simplifying a2 = -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 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 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 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 3
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-3, 3}
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