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Simplifying 6a2 + 23ab + -4b2 = 0 Reorder the terms: 23ab + 6a2 + -4b2 = 0 Solving 23ab + 6a2 + -4b2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -1b)(a + 4b) = 0Subproblem 1
Set the factor '(6a + -1b)' equal to zero and attempt to solve: Simplifying 6a + -1b = 0 Solving 6a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 6a + -1b + b = 0 + b Combine like terms: -1b + b = 0 6a + 0 = 0 + b 6a = 0 + b Remove the zero: 6a = b Divide each side by '6'. a = 0.1666666667b Simplifying a = 0.1666666667bSubproblem 2
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 = -4bSolution
a = {0.1666666667b, -4b}
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