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Simplifying 11a2 + 122ab + 11b2 = 0 Reorder the terms: 122ab + 11a2 + 11b2 = 0 Solving 122ab + 11a2 + 11b2 = 0 Solving for variable 'a'. Factor a trinomial. (11a + b)(a + 11b) = 0Subproblem 1
Set the factor '(11a + b)' equal to zero and attempt to solve: Simplifying 11a + b = 0 Solving 11a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 11a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 11a + 0 = 0 + -1b 11a = 0 + -1b Remove the zero: 11a = -1b Divide each side by '11'. a = -0.09090909091b Simplifying a = -0.09090909091bSubproblem 2
Set the factor '(a + 11b)' equal to zero and attempt to solve: Simplifying a + 11b = 0 Solving a + 11b = 0 Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 a + 0 = 0 + -11b a = 0 + -11b Remove the zero: a = -11b Simplifying a = -11bSolution
a = {-0.09090909091b, -11b}
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