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Simplifying 115x2 + 42x + 35 = 0 Reorder the terms: 35 + 42x + 115x2 = 0 Solving 35 + 42x + 115x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 115 the coefficient of the squared term: Divide each side by '115'. 0.3043478261 + 0.3652173913x + x2 = 0 Move the constant term to the right: Add '-0.3043478261' to each side of the equation. 0.3043478261 + 0.3652173913x + -0.3043478261 + x2 = 0 + -0.3043478261 Reorder the terms: 0.3043478261 + -0.3043478261 + 0.3652173913x + x2 = 0 + -0.3043478261 Combine like terms: 0.3043478261 + -0.3043478261 = 0.0000000000 0.0000000000 + 0.3652173913x + x2 = 0 + -0.3043478261 0.3652173913x + x2 = 0 + -0.3043478261 Combine like terms: 0 + -0.3043478261 = -0.3043478261 0.3652173913x + x2 = -0.3043478261 The x term is 0.3652173913x. Take half its coefficient (0.1826086957). Square it (0.03334593575) and add it to both sides. Add '0.03334593575' to each side of the equation. 0.3652173913x + 0.03334593575 + x2 = -0.3043478261 + 0.03334593575 Reorder the terms: 0.03334593575 + 0.3652173913x + x2 = -0.3043478261 + 0.03334593575 Combine like terms: -0.3043478261 + 0.03334593575 = -0.27100189035 0.03334593575 + 0.3652173913x + x2 = -0.27100189035 Factor a perfect square on the left side: (x + 0.1826086957)(x + 0.1826086957) = -0.27100189035 Can't calculate square root of the right side. The solution to this equation could not be determined.
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