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Simplifying (9a3 + 3a2) + (5a3 + 6a2) = 0 Reorder the terms: (3a2 + 9a3) + (5a3 + 6a2) = 0 Remove parenthesis around (3a2 + 9a3) 3a2 + 9a3 + (5a3 + 6a2) = 0 Reorder the terms: 3a2 + 9a3 + (6a2 + 5a3) = 0 Remove parenthesis around (6a2 + 5a3) 3a2 + 9a3 + 6a2 + 5a3 = 0 Reorder the terms: 3a2 + 6a2 + 9a3 + 5a3 = 0 Combine like terms: 3a2 + 6a2 = 9a2 9a2 + 9a3 + 5a3 = 0 Combine like terms: 9a3 + 5a3 = 14a3 9a2 + 14a3 = 0 Solving 9a2 + 14a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(9 + 14a) = 0Subproblem 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 '(9 + 14a)' equal to zero and attempt to solve: Simplifying 9 + 14a = 0 Solving 9 + 14a = 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 + 14a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14a = 0 + -9 14a = 0 + -9 Combine like terms: 0 + -9 = -9 14a = -9 Divide each side by '14'. a = -0.6428571429 Simplifying a = -0.6428571429Solution
a = {0, -0.6428571429}
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