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Simplifying 16m = 35 + -3m2 Solving 16m = 35 + -3m2 Solving for variable 'm'. Reorder the terms: -35 + 16m + 3m2 = 35 + -3m2 + -35 + 3m2 Reorder the terms: -35 + 16m + 3m2 = 35 + -35 + -3m2 + 3m2 Combine like terms: 35 + -35 = 0 -35 + 16m + 3m2 = 0 + -3m2 + 3m2 -35 + 16m + 3m2 = -3m2 + 3m2 Combine like terms: -3m2 + 3m2 = 0 -35 + 16m + 3m2 = 0 Factor a trinomial. (-7 + -1m)(5 + -3m) = 0Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-7, 1.666666667}
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