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Simplifying a2 + -14ab + 24b2 = 0 Reorder the terms: -14ab + a2 + 24b2 = 0 Solving -14ab + a2 + 24b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -12b)(a + -2b) = 0Subproblem 1
Set the factor '(a + -12b)' equal to zero and attempt to solve: Simplifying a + -12b = 0 Solving a + -12b = 0 Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 a + 0 = 0 + 12b a = 0 + 12b Remove the zero: a = 12b Simplifying a = 12bSubproblem 2
Set the factor '(a + -2b)' equal to zero and attempt to solve: Simplifying a + -2b = 0 Solving a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 a + 0 = 0 + 2b a = 0 + 2b Remove the zero: a = 2b Simplifying a = 2bSolution
a = {12b, 2b}
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