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Simplifying 11x2 + 3x + 5 = 0 Reorder the terms: 5 + 3x + 11x2 = 0 Solving 5 + 3x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.4545454545 + 0.2727272727x + x2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + 0.2727272727x + -0.4545454545 + x2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + 0.2727272727x + x2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + 0.2727272727x + x2 = 0 + -0.4545454545 0.2727272727x + x2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 0.2727272727x + x2 = -0.4545454545 The x term is 0.2727272727x. Take half its coefficient (0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. 0.2727272727x + 0.01859504133 + x2 = -0.4545454545 + 0.01859504133 Reorder the terms: 0.01859504133 + 0.2727272727x + x2 = -0.4545454545 + 0.01859504133 Combine like terms: -0.4545454545 + 0.01859504133 = -0.43595041317 0.01859504133 + 0.2727272727x + x2 = -0.43595041317 Factor a perfect square on the left side: (x + 0.1363636364)(x + 0.1363636364) = -0.43595041317 Can't calculate square root of the right side. The solution to this equation could not be determined.
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