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Simplifying 20x + (21)(x2) = -18 Solving 20x + 21x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + 20x + 21x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 20x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.8571428571 + 0.9523809524x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.9523809524x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.9523809524x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.9523809524x + x2 = 0 + -0.8571428571 0.9523809524x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.9523809524x + x2 = -0.8571428571 The x term is 0.9523809524x. Take half its coefficient (0.4761904762). Square it (0.2267573696) and add it to both sides. Add '0.2267573696' to each side of the equation. 0.9523809524x + 0.2267573696 + x2 = -0.8571428571 + 0.2267573696 Reorder the terms: 0.2267573696 + 0.9523809524x + x2 = -0.8571428571 + 0.2267573696 Combine like terms: -0.8571428571 + 0.2267573696 = -0.6303854875 0.2267573696 + 0.9523809524x + x2 = -0.6303854875 Factor a perfect square on the left side: (x + 0.4761904762)(x + 0.4761904762) = -0.6303854875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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