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Simplifying (8m + -2)(8m + 2) = 0 Reorder the terms: (-2 + 8m)(8m + 2) = 0 Reorder the terms: (-2 + 8m)(2 + 8m) = 0 Multiply (-2 + 8m) * (2 + 8m) (-2(2 + 8m) + 8m * (2 + 8m)) = 0 ((2 * -2 + 8m * -2) + 8m * (2 + 8m)) = 0 ((-4 + -16m) + 8m * (2 + 8m)) = 0 (-4 + -16m + (2 * 8m + 8m * 8m)) = 0 (-4 + -16m + (16m + 64m2)) = 0 Combine like terms: -16m + 16m = 0 (-4 + 0 + 64m2) = 0 (-4 + 64m2) = 0 Solving -4 + 64m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 64m2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 64m2 = 0 + 4 64m2 = 0 + 4 Combine like terms: 0 + 4 = 4 64m2 = 4 Divide each side by '64'. m2 = 0.0625 Simplifying m2 = 0.0625 Take the square root of each side: m = {-0.25, 0.25}
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