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Simplifying -2.06x2 + 77.86x + 741 = 1405040 Reorder the terms: 741 + 77.86x + -2.06x2 = 1405040 Solving 741 + 77.86x + -2.06x2 = 1405040 Solving for variable 'x'. Reorder the terms: 741 + -1405040 + 77.86x + -2.06x2 = 1405040 + -1405040 Combine like terms: 741 + -1405040 = -1404299 -1404299 + 77.86x + -2.06x2 = 1405040 + -1405040 Combine like terms: 1405040 + -1405040 = 0 -1404299 + 77.86x + -2.06x2 = 0 Begin completing the square. Divide all terms by -2.06 the coefficient of the squared term: Divide each side by '-2.06'. 681698.5437 + -37.7961165x + x2 = 0 Move the constant term to the right: Add '-681698.5437' to each side of the equation. 681698.5437 + -37.7961165x + -681698.5437 + x2 = 0 + -681698.5437 Reorder the terms: 681698.5437 + -681698.5437 + -37.7961165x + x2 = 0 + -681698.5437 Combine like terms: 681698.5437 + -681698.5437 = 0.0000 0.0000 + -37.7961165x + x2 = 0 + -681698.5437 -37.7961165x + x2 = 0 + -681698.5437 Combine like terms: 0 + -681698.5437 = -681698.5437 -37.7961165x + x2 = -681698.5437 The x term is -37.7961165x. Take half its coefficient (-18.89805825). Square it (357.1366056) and add it to both sides. Add '357.1366056' to each side of the equation. -37.7961165x + 357.1366056 + x2 = -681698.5437 + 357.1366056 Reorder the terms: 357.1366056 + -37.7961165x + x2 = -681698.5437 + 357.1366056 Combine like terms: -681698.5437 + 357.1366056 = -681341.4070944 357.1366056 + -37.7961165x + x2 = -681341.4070944 Factor a perfect square on the left side: (x + -18.89805825)(x + -18.89805825) = -681341.4070944 Can't calculate square root of the right side. The solution to this equation could not be determined.
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