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Simplifying 24a2 + -26ab + -5b2 = 0 Reorder the terms: -26ab + 24a2 + -5b2 = 0 Solving -26ab + 24a2 + -5b2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -5b)(6a + b) = 0Subproblem 1
Set the factor '(4a + -5b)' equal to zero and attempt to solve: Simplifying 4a + -5b = 0 Solving 4a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 4a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 4a + 0 = 0 + 5b 4a = 0 + 5b Remove the zero: 4a = 5b Divide each side by '4'. a = 1.25b Simplifying a = 1.25bSubproblem 2
Set the factor '(6a + b)' equal to zero and attempt to solve: Simplifying 6a + b = 0 Solving 6a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 6a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 6a + 0 = 0 + -1b 6a = 0 + -1b Remove the zero: 6a = -1b Divide each side by '6'. a = -0.1666666667b Simplifying a = -0.1666666667bSolution
a = {1.25b, -0.1666666667b}
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