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Simplifying (4m + -7)(3m + -7) = 0 Reorder the terms: (-7 + 4m)(3m + -7) = 0 Reorder the terms: (-7 + 4m)(-7 + 3m) = 0 Multiply (-7 + 4m) * (-7 + 3m) (-7(-7 + 3m) + 4m * (-7 + 3m)) = 0 ((-7 * -7 + 3m * -7) + 4m * (-7 + 3m)) = 0 ((49 + -21m) + 4m * (-7 + 3m)) = 0 (49 + -21m + (-7 * 4m + 3m * 4m)) = 0 (49 + -21m + (-28m + 12m2)) = 0 Combine like terms: -21m + -28m = -49m (49 + -49m + 12m2) = 0 Solving 49 + -49m + 12m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -4m)(7 + -3m) = 0Subproblem 1
Set the factor '(7 + -4m)' equal to zero and attempt to solve: Simplifying 7 + -4m = 0 Solving 7 + -4m = 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 + -4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = 0 + -7 -4m = 0 + -7 Combine like terms: 0 + -7 = -7 -4m = -7 Divide each side by '-4'. m = 1.75 Simplifying m = 1.75Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 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 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Solution
m = {1.75, 2.333333333}
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