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Simplifying 9y2 + 6ay + a2 = 0 Reorder the terms: 6ay + a2 + 9y2 = 0 Solving 6ay + a2 + 9y2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 3y)(a + 3y) = 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 + 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 = -3ySolution
a = {-3y, -3y}
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