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Simplifying a2 + 7ab + -60b2 = 0 Reorder the terms: 7ab + a2 + -60b2 = 0 Solving 7ab + a2 + -60b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -5b)(a + 12b) = 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 + 12b)' equal to zero and attempt to solve: Simplifying a + 12b = 0 Solving a + 12b = 0 Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 a + 0 = 0 + -12b a = 0 + -12b Remove the zero: a = -12b Simplifying a = -12bSolution
a = {5b, -12b}
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