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Simplifying (2m + -7)(m + -4) = 0 Reorder the terms: (-7 + 2m)(m + -4) = 0 Reorder the terms: (-7 + 2m)(-4 + m) = 0 Multiply (-7 + 2m) * (-4 + m) (-7(-4 + m) + 2m * (-4 + m)) = 0 ((-4 * -7 + m * -7) + 2m * (-4 + m)) = 0 ((28 + -7m) + 2m * (-4 + m)) = 0 (28 + -7m + (-4 * 2m + m * 2m)) = 0 (28 + -7m + (-8m + 2m2)) = 0 Combine like terms: -7m + -8m = -15m (28 + -15m + 2m2) = 0 Solving 28 + -15m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -2m)(4 + -1m) = 0Subproblem 1
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 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 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {3.5, 4}
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