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Simplifying a2 + -16ab + 63b2 = 0 Reorder the terms: -16ab + a2 + 63b2 = 0 Solving -16ab + a2 + 63b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9b)(a + -7b) = 0Subproblem 1
Set the factor '(a + -9b)' equal to zero and attempt to solve: Simplifying a + -9b = 0 Solving a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 a + 0 = 0 + 9b a = 0 + 9b Remove the zero: a = 9b Simplifying a = 9bSubproblem 2
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 = 7bSolution
a = {9b, 7b}
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