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Simplifying (2m + -7)(2m + -7) = 0 Reorder the terms: (-7 + 2m)(2m + -7) = 0 Reorder the terms: (-7 + 2m)(-7 + 2m) = 0 Multiply (-7 + 2m) * (-7 + 2m) (-7(-7 + 2m) + 2m * (-7 + 2m)) = 0 ((-7 * -7 + 2m * -7) + 2m * (-7 + 2m)) = 0 ((49 + -14m) + 2m * (-7 + 2m)) = 0 (49 + -14m + (-7 * 2m + 2m * 2m)) = 0 (49 + -14m + (-14m + 4m2)) = 0 Combine like terms: -14m + -14m = -28m (49 + -28m + 4m2) = 0 Solving 49 + -28m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -2m)(7 + -2m) = 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 '(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 = 3.5Solution
m = {3.5, 3.5}
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