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Simplifying (4x + 5)(4x + -5) = n Reorder the terms: (5 + 4x)(4x + -5) = n Reorder the terms: (5 + 4x)(-5 + 4x) = n Multiply (5 + 4x) * (-5 + 4x) (5(-5 + 4x) + 4x * (-5 + 4x)) = n ((-5 * 5 + 4x * 5) + 4x * (-5 + 4x)) = n ((-25 + 20x) + 4x * (-5 + 4x)) = n (-25 + 20x + (-5 * 4x + 4x * 4x)) = n (-25 + 20x + (-20x + 16x2)) = n Combine like terms: 20x + -20x = 0 (-25 + 0 + 16x2) = n (-25 + 16x2) = n Solving -25 + 16x2 = n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 16x2 = 25 + n Combine like terms: -25 + 25 = 0 0 + 16x2 = 25 + n 16x2 = 25 + n Divide each side by '16'. x2 = 1.5625 + 0.0625n Simplifying x2 = 1.5625 + 0.0625n Reorder the terms: -1.5625 + -0.0625n + x2 = 1.5625 + 0.0625n + -1.5625 + -0.0625n Reorder the terms: -1.5625 + -0.0625n + x2 = 1.5625 + -1.5625 + 0.0625n + -0.0625n Combine like terms: 1.5625 + -1.5625 = 0.0000 -1.5625 + -0.0625n + x2 = 0.0000 + 0.0625n + -0.0625n -1.5625 + -0.0625n + x2 = 0.0625n + -0.0625n Combine like terms: 0.0625n + -0.0625n = 0.0000 -1.5625 + -0.0625n + x2 = 0.0000 The solution to this equation could not be determined.
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