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Simplifying -1m2 = 8 + -9m Solving -1m2 = 8 + -9m Solving for variable 'm'. Reorder the terms: -8 + 9m + -1m2 = 8 + -9m + -8 + 9m Reorder the terms: -8 + 9m + -1m2 = 8 + -8 + -9m + 9m Combine like terms: 8 + -8 = 0 -8 + 9m + -1m2 = 0 + -9m + 9m -8 + 9m + -1m2 = -9m + 9m Combine like terms: -9m + 9m = 0 -8 + 9m + -1m2 = 0 Factor a trinomial. (-8 + m)(1 + -1m) = 0Subproblem 1
Set the factor '(-8 + m)' equal to zero and attempt to solve: Simplifying -8 + m = 0 Solving -8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + m = 0 + 8 m = 0 + 8 Combine like terms: 0 + 8 = 8 m = 8 Simplifying m = 8Subproblem 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 = {8, 1}
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