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Simplifying a2 + 17ab + 52b2 = 0 Reorder the terms: 17ab + a2 + 52b2 = 0 Solving 17ab + a2 + 52b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 4b)(a + 13b) = 0Subproblem 1
Set the factor '(a + 4b)' equal to zero and attempt to solve: Simplifying a + 4b = 0 Solving a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 a + 0 = 0 + -4b a = 0 + -4b Remove the zero: a = -4b Simplifying a = -4bSubproblem 2
Set the factor '(a + 13b)' equal to zero and attempt to solve: Simplifying a + 13b = 0 Solving a + 13b = 0 Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 a + 0 = 0 + -13b a = 0 + -13b Remove the zero: a = -13b Simplifying a = -13bSolution
a = {-4b, -13b}
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