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Simplifying a2 + 15ab + -54b2 = 0 Reorder the terms: 15ab + a2 + -54b2 = 0 Solving 15ab + a2 + -54b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -3b)(a + 18b) = 0Subproblem 1
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 = 3bSubproblem 2
Set the factor '(a + 18b)' equal to zero and attempt to solve: Simplifying a + 18b = 0 Solving a + 18b = 0 Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 a + 0 = 0 + -18b a = 0 + -18b Remove the zero: a = -18b Simplifying a = -18bSolution
a = {3b, -18b}
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