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Simplifying 9a2 + -6a = 0 Reorder the terms: -6a + 9a2 = 0 Solving -6a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-2 + 3a) = 0 Ignore the factor 3.Subproblem 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 '(-2 + 3a)' equal to zero and attempt to solve: Simplifying -2 + 3a = 0 Solving -2 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 0 + 2 3a = 0 + 2 Combine like terms: 0 + 2 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {0, 0.6666666667}
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