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Simplifying 4a5 + -14a3 + -30a = 0 Reorder the terms: -30a + -14a3 + 4a5 = 0 Solving -30a + -14a3 + 4a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-15 + -7a2 + 2a4) = 0 Factor a trinomial. 2a((-3 + -2a2)(5 + -1a2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-3 + -2a2)' equal to zero and attempt to solve: Simplifying -3 + -2a2 = 0 Solving -3 + -2a2 = 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 + -2a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2a2 = 0 + 3 -2a2 = 0 + 3 Combine like terms: 0 + 3 = 3 -2a2 = 3 Divide each side by '-2'. 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 3
Set the factor '(5 + -1a2)' equal to zero and attempt to solve: Simplifying 5 + -1a2 = 0 Solving 5 + -1a2 = 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 + -1a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a2 = 0 + -5 -1a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1a2 = -5 Divide each side by '-1'. a2 = 5 Simplifying a2 = 5 Take the square root of each side: a = {-2.236067978, 2.236067978}Solution
a = {0, -2.236067978, 2.236067978}
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