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Simplifying 16x2 + 41x + 92 = 0 Reorder the terms: 92 + 41x + 16x2 = 0 Solving 92 + 41x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5.75 + 2.5625x + x2 = 0 Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + 2.5625x + -5.75 + x2 = 0 + -5.75 Reorder the terms: 5.75 + -5.75 + 2.5625x + x2 = 0 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 2.5625x + x2 = 0 + -5.75 2.5625x + x2 = 0 + -5.75 Combine like terms: 0 + -5.75 = -5.75 2.5625x + x2 = -5.75 The x term is 2.5625x. Take half its coefficient (1.28125). Square it (1.641601563) and add it to both sides. Add '1.641601563' to each side of the equation. 2.5625x + 1.641601563 + x2 = -5.75 + 1.641601563 Reorder the terms: 1.641601563 + 2.5625x + x2 = -5.75 + 1.641601563 Combine like terms: -5.75 + 1.641601563 = -4.108398437 1.641601563 + 2.5625x + x2 = -4.108398437 Factor a perfect square on the left side: (x + 1.28125)(x + 1.28125) = -4.108398437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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