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Simplifying 2a2 + 11aq + 9q2 = 0 Reorder the terms: 11aq + 2a2 + 9q2 = 0 Solving 11aq + 2a2 + 9q2 = 0 Solving for variable 'a'. Factor a trinomial. (a + q)(2a + 9q) = 0Subproblem 1
Set the factor '(a + q)' equal to zero and attempt to solve: Simplifying a + q = 0 Solving a + q = 0 Move all terms containing a to the left, all other terms to the right. Add '-1q' to each side of the equation. a + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 a + 0 = 0 + -1q a = 0 + -1q Remove the zero: a = -1q Simplifying a = -1qSubproblem 2
Set the factor '(2a + 9q)' equal to zero and attempt to solve: Simplifying 2a + 9q = 0 Solving 2a + 9q = 0 Move all terms containing a to the left, all other terms to the right. Add '-9q' to each side of the equation. 2a + 9q + -9q = 0 + -9q Combine like terms: 9q + -9q = 0 2a + 0 = 0 + -9q 2a = 0 + -9q Remove the zero: 2a = -9q Divide each side by '2'. a = -4.5q Simplifying a = -4.5qSolution
a = {-1q, -4.5q}
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