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Simplifying (5n + -4)(5n + 4) = -61 Reorder the terms: (-4 + 5n)(5n + 4) = -61 Reorder the terms: (-4 + 5n)(4 + 5n) = -61 Multiply (-4 + 5n) * (4 + 5n) (-4(4 + 5n) + 5n * (4 + 5n)) = -61 ((4 * -4 + 5n * -4) + 5n * (4 + 5n)) = -61 ((-16 + -20n) + 5n * (4 + 5n)) = -61 (-16 + -20n + (4 * 5n + 5n * 5n)) = -61 (-16 + -20n + (20n + 25n2)) = -61 Combine like terms: -20n + 20n = 0 (-16 + 0 + 25n2) = -61 (-16 + 25n2) = -61 Solving -16 + 25n2 = -61 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25n2 = -61 + 16 Combine like terms: -16 + 16 = 0 0 + 25n2 = -61 + 16 25n2 = -61 + 16 Combine like terms: -61 + 16 = -45 25n2 = -45 Divide each side by '25'. n2 = -1.8 Simplifying n2 = -1.8 Reorder the terms: 1.8 + n2 = -1.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 1.8 + n2 = 0.0 The solution to this equation could not be determined.
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