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Simplifying 2X2 + 3X + 7 = 2 Reorder the terms: 7 + 3X + 2X2 = 2 Solving 7 + 3X + 2X2 = 2 Solving for variable 'X'. Reorder the terms: 7 + -2 + 3X + 2X2 = 2 + -2 Combine like terms: 7 + -2 = 5 5 + 3X + 2X2 = 2 + -2 Combine like terms: 2 + -2 = 0 5 + 3X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 1.5X + X2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 1.5X + -2.5 + X2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 1.5X + X2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.5X + X2 = 0 + -2.5 1.5X + X2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1.5X + X2 = -2.5 The X term is 1.5X. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5X + 0.5625 + X2 = -2.5 + 0.5625 Reorder the terms: 0.5625 + 1.5X + X2 = -2.5 + 0.5625 Combine like terms: -2.5 + 0.5625 = -1.9375 0.5625 + 1.5X + X2 = -1.9375 Factor a perfect square on the left side: (X + 0.75)(X + 0.75) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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