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Simplifying 20x2 + 9x + 11 = 0 Reorder the terms: 11 + 9x + 20x2 = 0 Solving 11 + 9x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.55 + 0.45x + x2 = 0 Move the constant term to the right: Add '-0.55' to each side of the equation. 0.55 + 0.45x + -0.55 + x2 = 0 + -0.55 Reorder the terms: 0.55 + -0.55 + 0.45x + x2 = 0 + -0.55 Combine like terms: 0.55 + -0.55 = 0.00 0.00 + 0.45x + x2 = 0 + -0.55 0.45x + x2 = 0 + -0.55 Combine like terms: 0 + -0.55 = -0.55 0.45x + x2 = -0.55 The x term is 0.45x. Take half its coefficient (0.225). Square it (0.050625) and add it to both sides. Add '0.050625' to each side of the equation. 0.45x + 0.050625 + x2 = -0.55 + 0.050625 Reorder the terms: 0.050625 + 0.45x + x2 = -0.55 + 0.050625 Combine like terms: -0.55 + 0.050625 = -0.499375 0.050625 + 0.45x + x2 = -0.499375 Factor a perfect square on the left side: (x + 0.225)(x + 0.225) = -0.499375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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