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