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Simplifying 12a2 + -11a + 3 = 3 Reorder the terms: 3 + -11a + 12a2 = 3 Add '-3' to each side of the equation. 3 + -11a + -3 + 12a2 = 3 + -3 Reorder the terms: 3 + -3 + -11a + 12a2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -11a + 12a2 = 3 + -3 -11a + 12a2 = 3 + -3 Combine like terms: 3 + -3 = 0 -11a + 12a2 = 0 Solving -11a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-11 + 12a) = 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 '(-11 + 12a)' equal to zero and attempt to solve: Simplifying -11 + 12a = 0 Solving -11 + 12a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12a = 0 + 11 12a = 0 + 11 Combine like terms: 0 + 11 = 11 12a = 11 Divide each side by '12'. a = 0.9166666667 Simplifying a = 0.9166666667Solution
a = {0, 0.9166666667}
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