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Simplifying -2.02x2 + 77.85x + 747 = 1358930 Reorder the terms: 747 + 77.85x + -2.02x2 = 1358930 Solving 747 + 77.85x + -2.02x2 = 1358930 Solving for variable 'x'. Reorder the terms: 747 + -1358930 + 77.85x + -2.02x2 = 1358930 + -1358930 Combine like terms: 747 + -1358930 = -1358183 -1358183 + 77.85x + -2.02x2 = 1358930 + -1358930 Combine like terms: 1358930 + -1358930 = 0 -1358183 + 77.85x + -2.02x2 = 0 Begin completing the square. Divide all terms by -2.02 the coefficient of the squared term: Divide each side by '-2.02'. 672367.8218 + -38.53960396x + x2 = 0 Move the constant term to the right: Add '-672367.8218' to each side of the equation. 672367.8218 + -38.53960396x + -672367.8218 + x2 = 0 + -672367.8218 Reorder the terms: 672367.8218 + -672367.8218 + -38.53960396x + x2 = 0 + -672367.8218 Combine like terms: 672367.8218 + -672367.8218 = 0.0000 0.0000 + -38.53960396x + x2 = 0 + -672367.8218 -38.53960396x + x2 = 0 + -672367.8218 Combine like terms: 0 + -672367.8218 = -672367.8218 -38.53960396x + x2 = -672367.8218 The x term is -38.53960396x. Take half its coefficient (-19.26980198). Square it (371.3252683) and add it to both sides. Add '371.3252683' to each side of the equation. -38.53960396x + 371.3252683 + x2 = -672367.8218 + 371.3252683 Reorder the terms: 371.3252683 + -38.53960396x + x2 = -672367.8218 + 371.3252683 Combine like terms: -672367.8218 + 371.3252683 = -671996.4965317 371.3252683 + -38.53960396x + x2 = -671996.4965317 Factor a perfect square on the left side: (x + -19.26980198)(x + -19.26980198) = -671996.4965317 Can't calculate square root of the right side. The solution to this equation could not be determined.
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