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Simplifying 9a3 + -7a2 + 3a3 = 0 Reorder the terms: -7a2 + 9a3 + 3a3 = 0 Combine like terms: 9a3 + 3a3 = 12a3 -7a2 + 12a3 = 0 Solving -7a2 + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-7 + 12a) = 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 '(-7 + 12a)' equal to zero and attempt to solve: Simplifying -7 + 12a = 0 Solving -7 + 12a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12a = 0 + 7 12a = 0 + 7 Combine like terms: 0 + 7 = 7 12a = 7 Divide each side by '12'. a = 0.5833333333 Simplifying a = 0.5833333333Solution
a = {0, 0.5833333333}
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