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Simplifying 9m2 + 100m + 100 = 0 Reorder the terms: 100 + 100m + 9m2 = 0 Solving 100 + 100m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + m)(10 + 9m) = 0Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 2
Set the factor '(10 + 9m)' equal to zero and attempt to solve: Simplifying 10 + 9m = 0 Solving 10 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9m = 0 + -10 9m = 0 + -10 Combine like terms: 0 + -10 = -10 9m = -10 Divide each side by '9'. m = -1.111111111 Simplifying m = -1.111111111Solution
m = {-10, -1.111111111}
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