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Simplifying a2 + -10ab + -24b2 = 0 Reorder the terms: -10ab + a2 + -24b2 = 0 Solving -10ab + 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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