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Simplifying 1385560 = -2.02x2 + 77.87x + 742 Reorder the terms: 1385560 = 742 + 77.87x + -2.02x2 Solving 1385560 = 742 + 77.87x + -2.02x2 Solving for variable 'x'. Combine like terms: 1385560 + -742 = 1384818 1384818 + -77.87x + 2.02x2 = 742 + 77.87x + -2.02x2 + -742 + -77.87x + 2.02x2 Reorder the terms: 1384818 + -77.87x + 2.02x2 = 742 + -742 + 77.87x + -77.87x + -2.02x2 + 2.02x2 Combine like terms: 742 + -742 = 0 1384818 + -77.87x + 2.02x2 = 0 + 77.87x + -77.87x + -2.02x2 + 2.02x2 1384818 + -77.87x + 2.02x2 = 77.87x + -77.87x + -2.02x2 + 2.02x2 Combine like terms: 77.87x + -77.87x = 0.00 1384818 + -77.87x + 2.02x2 = 0.00 + -2.02x2 + 2.02x2 1384818 + -77.87x + 2.02x2 = -2.02x2 + 2.02x2 Combine like terms: -2.02x2 + 2.02x2 = 0.00 1384818 + -77.87x + 2.02x2 = 0.00 Begin completing the square. Divide all terms by 2.02 the coefficient of the squared term: Divide each side by '2.02'. 685553.4653 + -38.54950495x + x2 = 0 Move the constant term to the right: Add '-685553.4653' to each side of the equation. 685553.4653 + -38.54950495x + -685553.4653 + x2 = 0 + -685553.4653 Reorder the terms: 685553.4653 + -685553.4653 + -38.54950495x + x2 = 0 + -685553.4653 Combine like terms: 685553.4653 + -685553.4653 = 0.0000 0.0000 + -38.54950495x + x2 = 0 + -685553.4653 -38.54950495x + x2 = 0 + -685553.4653 Combine like terms: 0 + -685553.4653 = -685553.4653 -38.54950495x + x2 = -685553.4653 The x term is -38.54950495x. Take half its coefficient (-19.27475248). Square it (371.5160832) and add it to both sides. Add '371.5160832' to each side of the equation. -38.54950495x + 371.5160832 + x2 = -685553.4653 + 371.5160832 Reorder the terms: 371.5160832 + -38.54950495x + x2 = -685553.4653 + 371.5160832 Combine like terms: -685553.4653 + 371.5160832 = -685181.9492168 371.5160832 + -38.54950495x + x2 = -685181.9492168 Factor a perfect square on the left side: (x + -19.27475248)(x + -19.27475248) = -685181.9492168 Can't calculate square root of the right side. The solution to this equation could not be determined.
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