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Simplifying (8m + -4)(8m + 4) = 0 Reorder the terms: (-4 + 8m)(8m + 4) = 0 Reorder the terms: (-4 + 8m)(4 + 8m) = 0 Multiply (-4 + 8m) * (4 + 8m) (-4(4 + 8m) + 8m * (4 + 8m)) = 0 ((4 * -4 + 8m * -4) + 8m * (4 + 8m)) = 0 ((-16 + -32m) + 8m * (4 + 8m)) = 0 (-16 + -32m + (4 * 8m + 8m * 8m)) = 0 (-16 + -32m + (32m + 64m2)) = 0 Combine like terms: -32m + 32m = 0 (-16 + 0 + 64m2) = 0 (-16 + 64m2) = 0 Solving -16 + 64m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 64m2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 64m2 = 0 + 16 64m2 = 0 + 16 Combine like terms: 0 + 16 = 16 64m2 = 16 Divide each side by '64'. m2 = 0.25 Simplifying m2 = 0.25 Take the square root of each side: m = {-0.5, 0.5}
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