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Simplifying a2 + -1ab + -90b2 = 0 Reorder the terms: -1ab + a2 + -90b2 = 0 Solving -1ab + a2 + -90b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -10b)(a + 9b) = 0Subproblem 1
Set the factor '(a + -10b)' equal to zero and attempt to solve: Simplifying a + -10b = 0 Solving a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 a + 0 = 0 + 10b a = 0 + 10b Remove the zero: a = 10b Simplifying a = 10bSubproblem 2
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 = -9bSolution
a = {10b, -9b}
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