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Simplifying 9a2 + 4a2 + -8a3 = 0 Combine like terms: 9a2 + 4a2 = 13a2 13a2 + -8a3 = 0 Solving 13a2 + -8a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(13 + -8a) = 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 '(13 + -8a)' equal to zero and attempt to solve: Simplifying 13 + -8a = 0 Solving 13 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8a = 0 + -13 -8a = 0 + -13 Combine like terms: 0 + -13 = -13 -8a = -13 Divide each side by '-8'. a = 1.625 Simplifying a = 1.625Solution
a = {0, 1.625}
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