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Simplifying a2 + 16ay + 63y2 = 0 Reorder the terms: 16ay + a2 + 63y2 = 0 Solving 16ay + a2 + 63y2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 7y)(a + 9y) = 0Subproblem 1
Set the factor '(a + 7y)' equal to zero and attempt to solve: Simplifying a + 7y = 0 Solving a + 7y = 0 Move all terms containing a to the left, all other terms to the right. Add '-7y' to each side of the equation. a + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 a + 0 = 0 + -7y a = 0 + -7y Remove the zero: a = -7y Simplifying a = -7ySubproblem 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 = {-7y, -9y}
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