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Simplifying a2 + 2ab + -48b2 = 0 Reorder the terms: 2ab + a2 + -48b2 = 0 Solving 2ab + a2 + -48b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -6b)(a + 8b) = 0Subproblem 1
Set the factor '(a + -6b)' equal to zero and attempt to solve: Simplifying a + -6b = 0 Solving a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 = 0 + 6b a = 0 + 6b Remove the zero: a = 6b Simplifying a = 6bSubproblem 2
Set the factor '(a + 8b)' equal to zero and attempt to solve: Simplifying a + 8b = 0 Solving a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 a + 0 = 0 + -8b a = 0 + -8b Remove the zero: a = -8b Simplifying a = -8bSolution
a = {6b, -8b}
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