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Simplifying -14a = 12a3 + -48a Reorder the terms: -14a = -48a + 12a3 Solving -14a = -48a + 12a3 Solving for variable 'a'. Combine like terms: -14a + 48a = 34a 34a + -12a3 = -48a + 12a3 + 48a + -12a3 Reorder the terms: 34a + -12a3 = -48a + 48a + 12a3 + -12a3 Combine like terms: -48a + 48a = 0 34a + -12a3 = 0 + 12a3 + -12a3 34a + -12a3 = 12a3 + -12a3 Combine like terms: 12a3 + -12a3 = 0 34a + -12a3 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(17 + -6a2) = 0 Ignore the factor 2.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 '(17 + -6a2)' equal to zero and attempt to solve: Simplifying 17 + -6a2 = 0 Solving 17 + -6a2 = 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 + -6a2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6a2 = 0 + -17 -6a2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6a2 = -17 Divide each side by '-6'. a2 = 2.833333333 Simplifying a2 = 2.833333333 Take the square root of each side: a = {-1.683250823, 1.683250823}Solution
a = {0, -1.683250823, 1.683250823}
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