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Simplifying 6a2 + 13ab + -63b2 = 0 Reorder the terms: 13ab + 6a2 + -63b2 = 0 Solving 13ab + 6a2 + -63b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -7b)(2a + 9b) = 0Subproblem 1
Set the factor '(3a + -7b)' equal to zero and attempt to solve: Simplifying 3a + -7b = 0 Solving 3a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 3a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 3a + 0 = 0 + 7b 3a = 0 + 7b Remove the zero: 3a = 7b Divide each side by '3'. a = 2.333333333b Simplifying a = 2.333333333bSubproblem 2
Set the factor '(2a + 9b)' equal to zero and attempt to solve: Simplifying 2a + 9b = 0 Solving 2a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 2a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 2a + 0 = 0 + -9b 2a = 0 + -9b Remove the zero: 2a = -9b Divide each side by '2'. a = -4.5b Simplifying a = -4.5bSolution
a = {2.333333333b, -4.5b}
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