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Simplifying 121a2 + 220a + 100 = 0 Reorder the terms: 100 + 220a + 121a2 = 0 Solving 100 + 220a + 121a2 = 0 Solving for variable 'a'. Factor a trinomial. (10 + 11a)(10 + 11a) = 0Subproblem 1
Set the factor '(10 + 11a)' equal to zero and attempt to solve: Simplifying 10 + 11a = 0 Solving 10 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = 0 + -10 11a = 0 + -10 Combine like terms: 0 + -10 = -10 11a = -10 Divide each side by '11'. a = -0.9090909091 Simplifying a = -0.9090909091Subproblem 2
Set the factor '(10 + 11a)' equal to zero and attempt to solve: Simplifying 10 + 11a = 0 Solving 10 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = 0 + -10 11a = 0 + -10 Combine like terms: 0 + -10 = -10 11a = -10 Divide each side by '11'. a = -0.9090909091 Simplifying a = -0.9090909091Solution
a = {-0.9090909091, -0.9090909091}
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