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Simplifying 12a2 + -9a = 0 Reorder the terms: -9a + 12a2 = 0 Solving -9a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-3 + 4a) = 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 '(-3 + 4a)' equal to zero and attempt to solve: Simplifying -3 + 4a = 0 Solving -3 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 0 + 3 4a = 0 + 3 Combine like terms: 0 + 3 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75Solution
a = {0, 0.75}
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