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Simplifying 2x2 + 42x + 363 = 0 Reorder the terms: 363 + 42x + 2x2 = 0 Solving 363 + 42x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 181.5 + 21x + x2 = 0 Move the constant term to the right: Add '-181.5' to each side of the equation. 181.5 + 21x + -181.5 + x2 = 0 + -181.5 Reorder the terms: 181.5 + -181.5 + 21x + x2 = 0 + -181.5 Combine like terms: 181.5 + -181.5 = 0.0 0.0 + 21x + x2 = 0 + -181.5 21x + x2 = 0 + -181.5 Combine like terms: 0 + -181.5 = -181.5 21x + x2 = -181.5 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -181.5 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -181.5 + 110.25 Combine like terms: -181.5 + 110.25 = -71.25 110.25 + 21x + x2 = -71.25 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = -71.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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