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Simplifying 90m2 + -19m + -90 = 0 Reorder the terms: -90 + -19m + 90m2 = 0 Solving -90 + -19m + 90m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -10m)(10 + -9m) = 0Subproblem 1
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 = -0.9Subproblem 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 = {-0.9, 1.111111111}
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