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Simplifying 36a2 + 9ab + -10b2 = 0 Reorder the terms: 9ab + 36a2 + -10b2 = 0 Solving 9ab + 36a2 + -10b2 = 0 Solving for variable 'a'. Factor a trinomial. (12a + -5b)(3a + 2b) = 0Subproblem 1
Set the factor '(12a + -5b)' equal to zero and attempt to solve: Simplifying 12a + -5b = 0 Solving 12a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 12a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 12a + 0 = 0 + 5b 12a = 0 + 5b Remove the zero: 12a = 5b Divide each side by '12'. a = 0.4166666667b Simplifying a = 0.4166666667bSubproblem 2
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 = -0.6666666667bSolution
a = {0.4166666667b, -0.6666666667b}
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