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Simplifying 9a2 + 25ab + -6b2 = 0 Reorder the terms: 25ab + 9a2 + -6b2 = 0 Solving 25ab + 9a2 + -6b2 = 0 Solving for variable 'a'. Factor a trinomial. (9a + -2b)(a + 3b) = 0Subproblem 1
Set the factor '(9a + -2b)' equal to zero and attempt to solve: Simplifying 9a + -2b = 0 Solving 9a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 9a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 9a + 0 = 0 + 2b 9a = 0 + 2b Remove the zero: 9a = 2b Divide each side by '9'. a = 0.2222222222b Simplifying a = 0.2222222222bSubproblem 2
Set the factor '(a + 3b)' equal to zero and attempt to solve: Simplifying a + 3b = 0 Solving a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a + 0 = 0 + -3b a = 0 + -3b Remove the zero: a = -3b Simplifying a = -3bSolution
a = {0.2222222222b, -3b}
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