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Simplifying 14a4 + 18a2 + -1(2a4 + 14a2) = 0 Reorder the terms: 14a4 + 18a2 + -1(14a2 + 2a4) = 0 14a4 + 18a2 + (14a2 * -1 + 2a4 * -1) = 0 14a4 + 18a2 + (-14a2 + -2a4) = 0 Reorder the terms: 18a2 + -14a2 + 14a4 + -2a4 = 0 Combine like terms: 18a2 + -14a2 = 4a2 4a2 + 14a4 + -2a4 = 0 Combine like terms: 14a4 + -2a4 = 12a4 4a2 + 12a4 = 0 Solving 4a2 + 12a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(1 + 3a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(1 + 3a2)' equal to zero and attempt to solve: Simplifying 1 + 3a2 = 0 Solving 1 + 3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a2 = 0 + -1 3a2 = 0 + -1 Combine like terms: 0 + -1 = -1 3a2 = -1 Divide each side by '3'. a2 = -0.3333333333 Simplifying a2 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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