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Simplifying 2a + -24ay + 72ay2 = 0 Solving 2a + -24ay + 72ay2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2a'. 2a(1 + -12y + 36y2) = 0 Factor a trinomial. 2a((1 + -6y)(1 + -6y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Add '6y' to each side of the equation. -6y + 6y = -1 + 6y Combine like terms: -6y + 6y = 0 0 = -1 + 6y Simplifying 0 = -1 + 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Add '6y' to each side of the equation. -6y + 6y = -1 + 6y Combine like terms: -6y + 6y = 0 0 = -1 + 6y Simplifying 0 = -1 + 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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