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Simplifying 121m2 + 22m + 1 = 0 Reorder the terms: 1 + 22m + 121m2 = 0 Solving 1 + 22m + 121m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + 11m)(1 + 11m) = 0Subproblem 1
Set the factor '(1 + 11m)' equal to zero and attempt to solve: Simplifying 1 + 11m = 0 Solving 1 + 11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11m = 0 + -1 11m = 0 + -1 Combine like terms: 0 + -1 = -1 11m = -1 Divide each side by '11'. m = -0.09090909091 Simplifying m = -0.09090909091Subproblem 2
Set the factor '(1 + 11m)' equal to zero and attempt to solve: Simplifying 1 + 11m = 0 Solving 1 + 11m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11m = 0 + -1 11m = 0 + -1 Combine like terms: 0 + -1 = -1 11m = -1 Divide each side by '11'. m = -0.09090909091 Simplifying m = -0.09090909091Solution
m = {-0.09090909091, -0.09090909091}
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