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Simplifying a2 + -13ab + 42b2 = 0 Reorder the terms: -13ab + a2 + 42b2 = 0 Solving -13ab + a2 + 42b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -7b)(a + -6b) = 0Subproblem 1
Set the factor '(a + -7b)' equal to zero and attempt to solve: Simplifying a + -7b = 0 Solving a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 a + 0 = 0 + 7b a = 0 + 7b Remove the zero: a = 7b Simplifying a = 7bSubproblem 2
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 = 6bSolution
a = {7b, 6b}
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