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Simplifying 221.43 + -322.3x + 1100x2 = 0 Solving 221.43 + -322.3x + 1100x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1100 the coefficient of the squared term: Divide each side by '1100'. 0.2013 + -0.293x + x2 = 0 Move the constant term to the right: Add '-0.2013' to each side of the equation. 0.2013 + -0.293x + -0.2013 + x2 = 0 + -0.2013 Reorder the terms: 0.2013 + -0.2013 + -0.293x + x2 = 0 + -0.2013 Combine like terms: 0.2013 + -0.2013 = 0.0000 0.0000 + -0.293x + x2 = 0 + -0.2013 -0.293x + x2 = 0 + -0.2013 Combine like terms: 0 + -0.2013 = -0.2013 -0.293x + x2 = -0.2013 The x term is -0.293x. Take half its coefficient (-0.1465). Square it (0.02146225) and add it to both sides. Add '0.02146225' to each side of the equation. -0.293x + 0.02146225 + x2 = -0.2013 + 0.02146225 Reorder the terms: 0.02146225 + -0.293x + x2 = -0.2013 + 0.02146225 Combine like terms: -0.2013 + 0.02146225 = -0.17983775 0.02146225 + -0.293x + x2 = -0.17983775 Factor a perfect square on the left side: (x + -0.1465)(x + -0.1465) = -0.17983775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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