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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 = 0 (-49 + 0 + 4m2) = 0 (-49 + 4m2) = 0 Solving -49 + 4m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 4m2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 4m2 = 0 + 49 4m2 = 0 + 49 Combine like terms: 0 + 49 = 49 4m2 = 49 Divide each side by '4'. m2 = 12.25 Simplifying m2 = 12.25 Take the square root of each side: m = {-3.5, 3.5}
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