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Simplifying -14a2 = 12a + -48a Combine like terms: 12a + -48a = -36a -14a2 = -36a Solving -14a2 = -36a Solving for variable 'a'. Reorder the terms: 36a + -14a2 = -36a + 36a Combine like terms: -36a + 36a = 0 36a + -14a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(18 + -7a) = 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 '(18 + -7a)' equal to zero and attempt to solve: Simplifying 18 + -7a = 0 Solving 18 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7a = 0 + -18 -7a = 0 + -18 Combine like terms: 0 + -18 = -18 -7a = -18 Divide each side by '-7'. a = 2.571428571 Simplifying a = 2.571428571Solution
a = {0, 2.571428571}
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