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Simplifying 16x2 + 13x + 20 = 0 Reorder the terms: 20 + 13x + 16x2 = 0 Solving 20 + 13x + 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'. 1.25 + 0.8125x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 0.8125x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 0.8125x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.8125x + x2 = 0 + -1.25 0.8125x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 0.8125x + x2 = -1.25 The x term is 0.8125x. Take half its coefficient (0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. 0.8125x + 0.1650390625 + x2 = -1.25 + 0.1650390625 Reorder the terms: 0.1650390625 + 0.8125x + x2 = -1.25 + 0.1650390625 Combine like terms: -1.25 + 0.1650390625 = -1.0849609375 0.1650390625 + 0.8125x + x2 = -1.0849609375 Factor a perfect square on the left side: (x + 0.40625)(x + 0.40625) = -1.0849609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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