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Simplifying 81a2 + -36ab + 4b2 = 0 Reorder the terms: -36ab + 81a2 + 4b2 = 0 Solving -36ab + 81a2 + 4b2 = 0 Solving for variable 'a'. Factor a trinomial. (9a + -2b)(9a + -2b) = 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 '(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 = {0.2222222222b, 0.2222222222b}
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