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Simplifying a2 + 12ab + 35b2 = 0 Reorder the terms: 12ab + a2 + 35b2 = 0 Solving 12ab + a2 + 35b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 5b)(a + 7b) = 0Subproblem 1
Set the factor '(a + 5b)' equal to zero and attempt to solve: Simplifying a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5bSubproblem 2
Set the factor '(a + 7b)' equal to zero and attempt to solve: Simplifying a + 7b = 0 Solving a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 a + 0 = 0 + -7b a = 0 + -7b Remove the zero: a = -7b Simplifying a = -7bSolution
a = {-5b, -7b}
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