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Simplifying 6a2 + 5ab + -6b2 = 0 Reorder the terms: 5ab + 6a2 + -6b2 = 0 Solving 5ab + 6a2 + -6b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -2b)(2a + 3b) = 0Subproblem 1
Set the factor '(3a + -2b)' equal to zero and attempt to solve: Simplifying 3a + -2b = 0 Solving 3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 3a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = 0 + 2b 3a = 0 + 2b Remove the zero: 3a = 2b Divide each side by '3'. a = 0.6666666667b Simplifying a = 0.6666666667bSubproblem 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 = {0.6666666667b, -1.5b}
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