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Simplifying 169m2 + 26m + 1 = 0 Reorder the terms: 1 + 26m + 169m2 = 0 Solving 1 + 26m + 169m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + 13m)(1 + 13m) = 0Subproblem 1
Set the factor '(1 + 13m)' equal to zero and attempt to solve: Simplifying 1 + 13m = 0 Solving 1 + 13m = 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 + 13m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13m = 0 + -1 13m = 0 + -1 Combine like terms: 0 + -1 = -1 13m = -1 Divide each side by '13'. m = -0.07692307692 Simplifying m = -0.07692307692Subproblem 2
Set the factor '(1 + 13m)' equal to zero and attempt to solve: Simplifying 1 + 13m = 0 Solving 1 + 13m = 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 + 13m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13m = 0 + -1 13m = 0 + -1 Combine like terms: 0 + -1 = -1 13m = -1 Divide each side by '13'. m = -0.07692307692 Simplifying m = -0.07692307692Solution
m = {-0.07692307692, -0.07692307692}
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