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Simplifying 2a2 + -5ab + -12b2 = 0 Reorder the terms: -5ab + 2a2 + -12b2 = 0 Solving -5ab + 2a2 + -12b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -4b)(2a + 3b) = 0Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSubproblem 2
Set the factor '(2a + 3b)' equal to zero and attempt to solve: Simplifying 2a + 3b = 0 Solving 2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 0 + -3b 2a = 0 + -3b Remove the zero: 2a = -3b Divide each side by '2'. a = -1.5b Simplifying a = -1.5bSolution
a = {4b, -1.5b}
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