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Simplifying 25a2 + -5a4 = 0 Solving 25a2 + -5a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2'. 5a2(5 + -1a2) = 0 Ignore the factor 5.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 '(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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