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Simplifying a2 + -13ab + -48b2 = 0 Reorder the terms: -13ab + a2 + -48b2 = 0 Solving -13ab + a2 + -48b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -16b)(a + 3b) = 0Subproblem 1
Set the factor '(a + -16b)' equal to zero and attempt to solve: Simplifying a + -16b = 0 Solving a + -16b = 0 Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 a + 0 = 0 + 16b a = 0 + 16b Remove the zero: a = 16b Simplifying a = 16bSubproblem 2
Set the factor '(a + 3b)' equal to zero and attempt to solve: Simplifying a + 3b = 0 Solving a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a + 0 = 0 + -3b a = 0 + -3b Remove the zero: a = -3b Simplifying a = -3bSolution
a = {16b, -3b}
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