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Simplifying 25a2 + -110ab + 121b2 = 0 Reorder the terms: -110ab + 25a2 + 121b2 = 0 Solving -110ab + 25a2 + 121b2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -11b)(5a + -11b) = 0Subproblem 1
Set the factor '(5a + -11b)' equal to zero and attempt to solve: Simplifying 5a + -11b = 0 Solving 5a + -11b = 0 Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 5a + -11b + 11b = 0 + 11b Combine like terms: -11b + 11b = 0 5a + 0 = 0 + 11b 5a = 0 + 11b Remove the zero: 5a = 11b Divide each side by '5'. a = 2.2b Simplifying a = 2.2bSubproblem 2
Set the factor '(5a + -11b)' equal to zero and attempt to solve: Simplifying 5a + -11b = 0 Solving 5a + -11b = 0 Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 5a + -11b + 11b = 0 + 11b Combine like terms: -11b + 11b = 0 5a + 0 = 0 + 11b 5a = 0 + 11b Remove the zero: 5a = 11b Divide each side by '5'. a = 2.2b Simplifying a = 2.2bSolution
a = {2.2b, 2.2b}
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