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Simplifying (3a2 + -9a) + (12a2 + 5a) = 0 Reorder the terms: (-9a + 3a2) + (12a2 + 5a) = 0 Remove parenthesis around (-9a + 3a2) -9a + 3a2 + (12a2 + 5a) = 0 Reorder the terms: -9a + 3a2 + (5a + 12a2) = 0 Remove parenthesis around (5a + 12a2) -9a + 3a2 + 5a + 12a2 = 0 Reorder the terms: -9a + 5a + 3a2 + 12a2 = 0 Combine like terms: -9a + 5a = -4a -4a + 3a2 + 12a2 = 0 Combine like terms: 3a2 + 12a2 = 15a2 -4a + 15a2 = 0 Solving -4a + 15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-4 + 15a) = 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 '(-4 + 15a)' equal to zero and attempt to solve: Simplifying -4 + 15a = 0 Solving -4 + 15a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 15a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 15a = 0 + 4 15a = 0 + 4 Combine like terms: 0 + 4 = 4 15a = 4 Divide each side by '15'. a = 0.2666666667 Simplifying a = 0.2666666667Solution
a = {0, 0.2666666667}
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