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Simplifying 16x2 + 41 + 25 = x Reorder the terms: 41 + 25 + 16x2 = x Combine like terms: 41 + 25 = 66 66 + 16x2 = x Solving 66 + 16x2 = x Solving for variable 'x'. Reorder the terms: 66 + -1x + 16x2 = x + -1x Combine like terms: x + -1x = 0 66 + -1x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 4.125 + -0.0625x + x2 = 0 Move the constant term to the right: Add '-4.125' to each side of the equation. 4.125 + -0.0625x + -4.125 + x2 = 0 + -4.125 Reorder the terms: 4.125 + -4.125 + -0.0625x + x2 = 0 + -4.125 Combine like terms: 4.125 + -4.125 = 0.000 0.000 + -0.0625x + x2 = 0 + -4.125 -0.0625x + x2 = 0 + -4.125 Combine like terms: 0 + -4.125 = -4.125 -0.0625x + x2 = -4.125 The x term is -0.0625x. Take half its coefficient (-0.03125). Square it (0.0009765625) and add it to both sides. Add '0.0009765625' to each side of the equation. -0.0625x + 0.0009765625 + x2 = -4.125 + 0.0009765625 Reorder the terms: 0.0009765625 + -0.0625x + x2 = -4.125 + 0.0009765625 Combine like terms: -4.125 + 0.0009765625 = -4.1240234375 0.0009765625 + -0.0625x + x2 = -4.1240234375 Factor a perfect square on the left side: (x + -0.03125)(x + -0.03125) = -4.1240234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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