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Simplifying 5a2 + -36ab + 55b2 = 0 Reorder the terms: -36ab + 5a2 + 55b2 = 0 Solving -36ab + 5a2 + 55b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -5b)(5a + -11b) = 0Subproblem 1
Set the factor '(a + -5b)' equal to zero and attempt to solve: Simplifying a + -5b = 0 Solving a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 a + 0 = 0 + 5b a = 0 + 5b Remove the zero: a = 5b Simplifying a = 5bSubproblem 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 = {5b, 2.2b}
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