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Simplifying a2 + -11ab + -60b2 = 0 Reorder the terms: -11ab + a2 + -60b2 = 0 Solving -11ab + a2 + -60b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -15b)(a + 4b) = 0Subproblem 1
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 = 15bSubproblem 2
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 = -4bSolution
a = {15b, -4b}
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