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Simplifying 18X2 + 21X + 22 = 0 Reorder the terms: 22 + 21X + 18X2 = 0 Solving 22 + 21X + 18X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.222222222 + 1.166666667X + X2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + 1.166666667X + -1.222222222 + X2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + 1.166666667X + X2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + 1.166666667X + X2 = 0 + -1.222222222 1.166666667X + X2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 1.166666667X + X2 = -1.222222222 The X term is 1.166666667X. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667X + 0.3402777780 + X2 = -1.222222222 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667X + X2 = -1.222222222 + 0.3402777780 Combine like terms: -1.222222222 + 0.3402777780 = -0.881944444 0.3402777780 + 1.166666667X + X2 = -0.881944444 Factor a perfect square on the left side: (X + 0.5833333335)(X + 0.5833333335) = -0.881944444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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