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Simplifying 35x2 + 72x + 1260 = 0 Reorder the terms: 1260 + 72x + 35x2 = 0 Solving 1260 + 72x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 36 + 2.057142857x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + 2.057142857x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 2.057142857x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2.057142857x + x2 = 0 + -36 2.057142857x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 2.057142857x + x2 = -36 The x term is 2.057142857x. Take half its coefficient (1.028571429). Square it (1.057959185) and add it to both sides. Add '1.057959185' to each side of the equation. 2.057142857x + 1.057959185 + x2 = -36 + 1.057959185 Reorder the terms: 1.057959185 + 2.057142857x + x2 = -36 + 1.057959185 Combine like terms: -36 + 1.057959185 = -34.942040815 1.057959185 + 2.057142857x + x2 = -34.942040815 Factor a perfect square on the left side: (x + 1.028571429)(x + 1.028571429) = -34.942040815 Can't calculate square root of the right side. The solution to this equation could not be determined.
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