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Simplifying 10m2 + 91m + -90 = 0 Reorder the terms: -90 + 91m + 10m2 = 0 Solving -90 + 91m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-10 + -1m)(9 + -10m) = 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 '(9 + -10m)' equal to zero and attempt to solve: Simplifying 9 + -10m = 0 Solving 9 + -10m = 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 + -10m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10m = 0 + -9 -10m = 0 + -9 Combine like terms: 0 + -9 = -9 -10m = -9 Divide each side by '-10'. m = 0.9 Simplifying m = 0.9Solution
m = {-10, 0.9}
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