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Simplifying a2 + -13ab + 40b2 = 0 Reorder the terms: -13ab + a2 + 40b2 = 0 Solving -13ab + a2 + 40b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -8b)(a + -5b) = 0Subproblem 1
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 = 8bSubproblem 2
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 = 5bSolution
a = {8b, 5b}
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