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Simplifying 6a2 + -17a + 6a2 = 0 Reorder the terms: -17a + 6a2 + 6a2 = 0 Combine like terms: 6a2 + 6a2 = 12a2 -17a + 12a2 = 0 Solving -17a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-17 + 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 '(-17 + 12a)' equal to zero and attempt to solve: Simplifying -17 + 12a = 0 Solving -17 + 12a = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12a = 0 + 17 12a = 0 + 17 Combine like terms: 0 + 17 = 17 12a = 17 Divide each side by '12'. a = 1.416666667 Simplifying a = 1.416666667Solution
a = {0, 1.416666667}
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