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Simplifying a2 + -12ab + 27b2 = 0 Reorder the terms: -12ab + a2 + 27b2 = 0 Solving -12ab + a2 + 27b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9b)(a + -3b) = 0Subproblem 1
Set the factor '(a + -9b)' equal to zero and attempt to solve: Simplifying a + -9b = 0 Solving a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 a + 0 = 0 + 9b a = 0 + 9b Remove the zero: a = 9b Simplifying a = 9bSubproblem 2
Set the factor '(a + -3b)' equal to zero and attempt to solve: Simplifying a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3bSolution
a = {9b, 3b}
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