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