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