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Simplifying -45a4 + 36a2 = 0 Reorder the terms: 36a2 + -45a4 = 0 Solving 36a2 + -45a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9a2'. 9a2(4 + -5a2) = 0 Ignore the factor 9.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 '(4 + -5a2)' equal to zero and attempt to solve: Simplifying 4 + -5a2 = 0 Solving 4 + -5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5a2 = 0 + -4 -5a2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5a2 = -4 Divide each side by '-5'. a2 = 0.8 Simplifying a2 = 0.8 Take the square root of each side: a = {-0.894427191, 0.894427191}Solution
a = {0, -0.894427191, 0.894427191}
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