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Simplifying 3a2 = 2ao Solving 3a2 = 2ao Solving for variable 'a'. Reorder the terms: -2ao + 3a2 = 2ao + -2ao Combine like terms: 2ao + -2ao = 0 -2ao + 3a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-2o + 3a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-2o + 3a)' equal to zero and attempt to solve: Simplifying -2o + 3a = 0 Reorder the terms: 3a + -2o = 0 Solving 3a + -2o = 0 Move all terms containing a to the left, all other terms to the right. Add '2o' to each side of the equation. 3a + -2o + 2o = 0 + 2o Combine like terms: -2o + 2o = 0 3a + 0 = 0 + 2o 3a = 0 + 2o Remove the zero: 3a = 2o Divide each side by '3'. a = 0.6666666667o Simplifying a = 0.6666666667oSolution
a = {0, 0.6666666667o}
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