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Simplifying 5X2 + 7X = -9 Reorder the terms: 7X + 5X2 = -9 Solving 7X + 5X2 = -9 Solving for variable 'X'. Reorder the terms: 9 + 7X + 5X2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 7X + 5X2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 1.4X + X2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 1.4X + -1.8 + X2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 1.4X + X2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.4X + X2 = 0 + -1.8 1.4X + X2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 1.4X + X2 = -1.8 The X term is 1.4X. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4X + 0.49 + X2 = -1.8 + 0.49 Reorder the terms: 0.49 + 1.4X + X2 = -1.8 + 0.49 Combine like terms: -1.8 + 0.49 = -1.31 0.49 + 1.4X + X2 = -1.31 Factor a perfect square on the left side: (X + 0.7)(X + 0.7) = -1.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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