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Simplifying 25m2 + -110m + 121 = 0 Reorder the terms: 121 + -110m + 25m2 = 0 Solving 121 + -110m + 25m2 = 0 Solving for variable 'm'. Factor a trinomial. (11 + -5m)(11 + -5m) = 0Subproblem 1
Set the factor '(11 + -5m)' equal to zero and attempt to solve: Simplifying 11 + -5m = 0 Solving 11 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5m = 0 + -11 -5m = 0 + -11 Combine like terms: 0 + -11 = -11 -5m = -11 Divide each side by '-5'. m = 2.2 Simplifying m = 2.2Subproblem 2
Set the factor '(11 + -5m)' equal to zero and attempt to solve: Simplifying 11 + -5m = 0 Solving 11 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5m = 0 + -11 -5m = 0 + -11 Combine like terms: 0 + -11 = -11 -5m = -11 Divide each side by '-5'. m = 2.2 Simplifying m = 2.2Solution
m = {2.2, 2.2}
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