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Simplifying (4a3 + -4a2) + (6a3 + 5a2) = 0 Reorder the terms: (-4a2 + 4a3) + (6a3 + 5a2) = 0 Remove parenthesis around (-4a2 + 4a3) -4a2 + 4a3 + (6a3 + 5a2) = 0 Reorder the terms: -4a2 + 4a3 + (5a2 + 6a3) = 0 Remove parenthesis around (5a2 + 6a3) -4a2 + 4a3 + 5a2 + 6a3 = 0 Reorder the terms: -4a2 + 5a2 + 4a3 + 6a3 = 0 Combine like terms: -4a2 + 5a2 = 1a2 1a2 + 4a3 + 6a3 = 0 Combine like terms: 4a3 + 6a3 = 10a3 1a2 + 10a3 = 0 Solving 1a2 + 10a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(1 + 10a) = 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 '(1 + 10a)' equal to zero and attempt to solve: Simplifying 1 + 10a = 0 Solving 1 + 10a = 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 + 10a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10a = 0 + -1 10a = 0 + -1 Combine like terms: 0 + -1 = -1 10a = -1 Divide each side by '10'. a = -0.1 Simplifying a = -0.1Solution
a = {0, -0.1}
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