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Simplifying a2 + 19ab + 60b2 = 0 Reorder the terms: 19ab + a2 + 60b2 = 0 Solving 19ab + a2 + 60b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 4b)(a + 15b) = 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 + 15b)' equal to zero and attempt to solve: Simplifying a + 15b = 0 Solving a + 15b = 0 Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 a + 0 = 0 + -15b a = 0 + -15b Remove the zero: a = -15b Simplifying a = -15bSolution
a = {-4b, -15b}
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