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Simplifying (4a2 + -6)(4a2 + 6) = 0 Reorder the terms: (-6 + 4a2)(4a2 + 6) = 0 Reorder the terms: (-6 + 4a2)(6 + 4a2) = 0 Multiply (-6 + 4a2) * (6 + 4a2) (-6(6 + 4a2) + 4a2 * (6 + 4a2)) = 0 ((6 * -6 + 4a2 * -6) + 4a2 * (6 + 4a2)) = 0 ((-36 + -24a2) + 4a2 * (6 + 4a2)) = 0 (-36 + -24a2 + (6 * 4a2 + 4a2 * 4a2)) = 0 (-36 + -24a2 + (24a2 + 16a4)) = 0 Combine like terms: -24a2 + 24a2 = 0 (-36 + 0 + 16a4) = 0 (-36 + 16a4) = 0 Solving -36 + 16a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 16a4 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16a4 = 0 + 36 16a4 = 0 + 36 Combine like terms: 0 + 36 = 36 16a4 = 36 Divide each side by '16'. a4 = 2.25 Simplifying a4 = 2.25 Reorder the terms: -2.25 + a4 = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + a4 = 0.00 Factor a difference between two squares. (1.5 + a2)(-1.5 + a2) = 0.00Subproblem 1
Set the factor '(1.5 + a2)' equal to zero and attempt to solve: Simplifying 1.5 + a2 = 0 Solving 1.5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + a2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a2 = 0 + -1.5 a2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 a2 = -1.5 Simplifying a2 = -1.5 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 '(-1.5 + a2)' equal to zero and attempt to solve: Simplifying -1.5 + a2 = 0 Solving -1.5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + a2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a2 = 0 + 1.5 a2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 a2 = 1.5 Simplifying a2 = 1.5 Take the square root of each side: a = {-1.224744871, 1.224744871}Solution
a = {-1.224744871, 1.224744871}
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