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Simplifying 35x2 + x = -23 Reorder the terms: x + 35x2 = -23 Solving x + 35x2 = -23 Solving for variable 'x'. Reorder the terms: 23 + x + 35x2 = -23 + 23 Combine like terms: -23 + 23 = 0 23 + x + 35x2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.6571428571 + 0.02857142857x + x2 = 0 Move the constant term to the right: Add '-0.6571428571' to each side of the equation. 0.6571428571 + 0.02857142857x + -0.6571428571 + x2 = 0 + -0.6571428571 Reorder the terms: 0.6571428571 + -0.6571428571 + 0.02857142857x + x2 = 0 + -0.6571428571 Combine like terms: 0.6571428571 + -0.6571428571 = 0.0000000000 0.0000000000 + 0.02857142857x + x2 = 0 + -0.6571428571 0.02857142857x + x2 = 0 + -0.6571428571 Combine like terms: 0 + -0.6571428571 = -0.6571428571 0.02857142857x + x2 = -0.6571428571 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.02857142857x + 0.25 + x2 = -0.6571428571 + 0.25 Reorder the terms: 0.25 + 0.02857142857x + x2 = -0.6571428571 + 0.25 Combine like terms: -0.6571428571 + 0.25 = -0.4071428571 0.25 + 0.02857142857x + x2 = -0.4071428571 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.4071428571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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