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Simplifying 2a4 + -5a2 + -18 = 0 Reorder the terms: -18 + -5a2 + 2a4 = 0 Solving -18 + -5a2 + 2a4 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -1a2)(9 + -2a2) = 0Subproblem 1
Set the factor '(-2 + -1a2)' equal to zero and attempt to solve: Simplifying -2 + -1a2 = 0 Solving -2 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a2 = 0 + 2 -1a2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1a2 = 2 Divide each side by '-1'. a2 = -2 Simplifying a2 = -2 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 '(9 + -2a2)' equal to zero and attempt to solve: Simplifying 9 + -2a2 = 0 Solving 9 + -2a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a2 = 0 + -9 -2a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2a2 = -9 Divide each side by '-2'. a2 = 4.5 Simplifying a2 = 4.5 Take the square root of each side: a = {-2.121320344, 2.121320344}Solution
a = {-2.121320344, 2.121320344}
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