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Simplifying 0 = 10m2 + 89m + -9 Reorder the terms: 0 = -9 + 89m + 10m2 Solving 0 = -9 + 89m + 10m2 Solving for variable 'm'. Combine like terms: 0 + 9 = 9 9 + -89m + -10m2 = -9 + 89m + 10m2 + 9 + -89m + -10m2 Reorder the terms: 9 + -89m + -10m2 = -9 + 9 + 89m + -89m + 10m2 + -10m2 Combine like terms: -9 + 9 = 0 9 + -89m + -10m2 = 0 + 89m + -89m + 10m2 + -10m2 9 + -89m + -10m2 = 89m + -89m + 10m2 + -10m2 Combine like terms: 89m + -89m = 0 9 + -89m + -10m2 = 0 + 10m2 + -10m2 9 + -89m + -10m2 = 10m2 + -10m2 Combine like terms: 10m2 + -10m2 = 0 9 + -89m + -10m2 = 0 Factor a trinomial. (1 + -10m)(9 + m) = 0Subproblem 1
Set the factor '(1 + -10m)' equal to zero and attempt to solve: Simplifying 1 + -10m = 0 Solving 1 + -10m = 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 + -10m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10m = 0 + -1 -10m = 0 + -1 Combine like terms: 0 + -1 = -1 -10m = -1 Divide each side by '-10'. m = 0.1 Simplifying m = 0.1Subproblem 2
Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Solution
m = {0.1, -9}
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