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Simplifying 18a2 + -18b2 + -77ab = 0 Reorder the terms: -77ab + 18a2 + -18b2 = 0 Solving -77ab + 18a2 + -18b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -9b)(9a + 2b) = 0Subproblem 1
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 = 4.5bSubproblem 2
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 = -0.2222222222bSolution
a = {4.5b, -0.2222222222b}
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