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Simplifying 12a2 + 14a + 11a2 = 0 Reorder the terms: 14a + 12a2 + 11a2 = 0 Combine like terms: 12a2 + 11a2 = 23a2 14a + 23a2 = 0 Solving 14a + 23a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(14 + 23a) = 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 '(14 + 23a)' equal to zero and attempt to solve: Simplifying 14 + 23a = 0 Solving 14 + 23a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 23a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 23a = 0 + -14 23a = 0 + -14 Combine like terms: 0 + -14 = -14 23a = -14 Divide each side by '23'. a = -0.6086956522 Simplifying a = -0.6086956522Solution
a = {0, -0.6086956522}
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