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Simplifying (5m + -4)(m + -10) = 0 Reorder the terms: (-4 + 5m)(m + -10) = 0 Reorder the terms: (-4 + 5m)(-10 + m) = 0 Multiply (-4 + 5m) * (-10 + m) (-4(-10 + m) + 5m * (-10 + m)) = 0 ((-10 * -4 + m * -4) + 5m * (-10 + m)) = 0 ((40 + -4m) + 5m * (-10 + m)) = 0 (40 + -4m + (-10 * 5m + m * 5m)) = 0 (40 + -4m + (-50m + 5m2)) = 0 Combine like terms: -4m + -50m = -54m (40 + -54m + 5m2) = 0 Solving 40 + -54m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -5m)(10 + -1m) = 0Subproblem 1
Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8Subproblem 2
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 = 10Solution
m = {0.8, 10}
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