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Simplifying 5a2 + -26ab + -24b2 = 0 Reorder the terms: -26ab + 5a2 + -24b2 = 0 Solving -26ab + 5a2 + -24b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -6b)(5a + 4b) = 0Subproblem 1
Set the factor '(a + -6b)' equal to zero and attempt to solve: Simplifying a + -6b = 0 Solving a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 = 0 + 6b a = 0 + 6b Remove the zero: a = 6b Simplifying a = 6bSubproblem 2
Set the factor '(5a + 4b)' equal to zero and attempt to solve: Simplifying 5a + 4b = 0 Solving 5a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 5a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = 0 + -4b 5a = 0 + -4b Remove the zero: 5a = -4b Divide each side by '5'. a = -0.8b Simplifying a = -0.8bSolution
a = {6b, -0.8b}
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