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Simplifying 9m2 + 18m + 1m + 2 = 0 Reorder the terms: 2 + 18m + 1m + 9m2 = 0 Combine like terms: 18m + 1m = 19m 2 + 19m + 9m2 = 0 Solving 2 + 19m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + m)(1 + 9m) = 0Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(1 + 9m)' equal to zero and attempt to solve: Simplifying 1 + 9m = 0 Solving 1 + 9m = 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 + 9m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9m = 0 + -1 9m = 0 + -1 Combine like terms: 0 + -1 = -1 9m = -1 Divide each side by '9'. m = -0.1111111111 Simplifying m = -0.1111111111Solution
m = {-2, -0.1111111111}
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