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Simplifying (5 + -1m)(2m + -8) = -3m Reorder the terms: (5 + -1m)(-8 + 2m) = -3m Multiply (5 + -1m) * (-8 + 2m) (5(-8 + 2m) + -1m * (-8 + 2m)) = -3m ((-8 * 5 + 2m * 5) + -1m * (-8 + 2m)) = -3m ((-40 + 10m) + -1m * (-8 + 2m)) = -3m (-40 + 10m + (-8 * -1m + 2m * -1m)) = -3m (-40 + 10m + (8m + -2m2)) = -3m Combine like terms: 10m + 8m = 18m (-40 + 18m + -2m2) = -3m Solving -40 + 18m + -2m2 = -3m Solving for variable 'm'. Reorder the terms: -40 + 18m + 3m + -2m2 = -3m + 3m Combine like terms: 18m + 3m = 21m -40 + 21m + -2m2 = -3m + 3m Combine like terms: -3m + 3m = 0 -40 + 21m + -2m2 = 0 Factor a trinomial. (-8 + m)(5 + -2m) = 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 '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {8, 2.5}
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