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Simplifying 9m2 + 71m + -8 = 0 Reorder the terms: -8 + 71m + 9m2 = 0 Solving -8 + 71m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(1 + -9m) = 0Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 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 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 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 = {-8, 0.1111111111}
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