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Simplifying 4a2 + -36ab + 81b2 = 0 Reorder the terms: -36ab + 4a2 + 81b2 = 0 Solving -36ab + 4a2 + 81b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -9b)(2a + -9b) = 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 '(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 = {4.5b, 4.5b}
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