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Simplifying a2 + 12ab + 20b2 = 0 Reorder the terms: 12ab + a2 + 20b2 = 0 Solving 12ab + a2 + 20b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 2b)(a + 10b) = 0Subproblem 1
Set the factor '(a + 2b)' equal to zero and attempt to solve: Simplifying a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2bSubproblem 2
Set the factor '(a + 10b)' equal to zero and attempt to solve: Simplifying a + 10b = 0 Solving a + 10b = 0 Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 a + 0 = 0 + -10b a = 0 + -10b Remove the zero: a = -10b Simplifying a = -10bSolution
a = {-2b, -10b}
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