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Simplifying -35x2 + 72x + -52 = 0 Reorder the terms: -52 + 72x + -35x2 = 0 Solving -52 + 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'. 1.485714286 + -2.057142857x + x2 = 0 Move the constant term to the right: Add '-1.485714286' to each side of the equation. 1.485714286 + -2.057142857x + -1.485714286 + x2 = 0 + -1.485714286 Reorder the terms: 1.485714286 + -1.485714286 + -2.057142857x + x2 = 0 + -1.485714286 Combine like terms: 1.485714286 + -1.485714286 = 0.000000000 0.000000000 + -2.057142857x + x2 = 0 + -1.485714286 -2.057142857x + x2 = 0 + -1.485714286 Combine like terms: 0 + -1.485714286 = -1.485714286 -2.057142857x + x2 = -1.485714286 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 = -1.485714286 + 1.057959185 Reorder the terms: 1.057959185 + -2.057142857x + x2 = -1.485714286 + 1.057959185 Combine like terms: -1.485714286 + 1.057959185 = -0.427755101 1.057959185 + -2.057142857x + x2 = -0.427755101 Factor a perfect square on the left side: (x + -1.028571429)(x + -1.028571429) = -0.427755101 Can't calculate square root of the right side. The solution to this equation could not be determined.
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