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Simplifying a2 + 12ay + 27y2 = 0 Reorder the terms: 12ay + a2 + 27y2 = 0 Solving 12ay + a2 + 27y2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 3y)(a + 9y) = 0Subproblem 1
Set the factor '(a + 3y)' equal to zero and attempt to solve: Simplifying a + 3y = 0 Solving a + 3y = 0 Move all terms containing a to the left, all other terms to the right. Add '-3y' to each side of the equation. a + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 a + 0 = 0 + -3y a = 0 + -3y Remove the zero: a = -3y Simplifying a = -3ySubproblem 2
Set the factor '(a + 9y)' equal to zero and attempt to solve: Simplifying a + 9y = 0 Solving a + 9y = 0 Move all terms containing a to the left, all other terms to the right. Add '-9y' to each side of the equation. a + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 a + 0 = 0 + -9y a = 0 + -9y Remove the zero: a = -9y Simplifying a = -9ySolution
a = {-3y, -9y}
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