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Simplifying a2 + -14ab + 45b2 = 0 Reorder the terms: -14ab + a2 + 45b2 = 0 Solving -14ab + a2 + 45b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9b)(a + -5b) = 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 + -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 = {9b, 5b}
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